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Finding the Fourth Proportional to 82,734,809.60, 124,102,214.40 and 41,920,140.80

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Solution

The fourth proportional to 82,734,809.60, 124,102,214.40 and 41,920,140.80 is: 62,880,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,734,809.60 : 124,102,214.40 = 41,920,140.80 : x
  2. Step 2: Convert to fraction form
    82,734,809.60/124,102,214.40 = 41,920,140.80/x
  3. Step 3: Cross multiply
    82,734,809.60x = 124,102,214.40 × 41,920,140.80
  4. Step 4: Simplify right side
    82,734,809.60x = 5,202,382,301,239,787
  5. Step 5: Solve for x
    x = 5,202,382,301,239,787/82,734,809.60
  6. Step 6: Final answer
    x = 62,880,211.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.