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Finding the Fourth Proportional to 137,443.44, 206,140.80 and 62,546.16

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Solution

The fourth proportional to 137,443.44, 206,140.80 and 62,546.16 is: 93,808.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,443.44 : 206,140.80 = 62,546.16 : x
  2. Step 2: Convert to fraction form
    137,443.44/206,140.80 = 62,546.16/x
  3. Step 3: Cross multiply
    137,443.44x = 206,140.80 × 62,546.16
  4. Step 4: Simplify right side
    137,443.44x = 12,893,315,459.33
  5. Step 5: Solve for x
    x = 12,893,315,459.33/137,443.44
  6. Step 6: Final answer
    x = 93,808.15

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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.