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Finding the Fourth Proportional to 241,880.80, 362,929.20 and 84,222.40

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Solution

The fourth proportional to 241,880.80, 362,929.20 and 84,222.40 is: 126,371.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,880.80 : 362,929.20 = 84,222.40 : x
  2. Step 2: Convert to fraction form
    241,880.80/362,929.20 = 84,222.40/x
  3. Step 3: Cross multiply
    241,880.80x = 362,929.20 × 84,222.40
  4. Step 4: Simplify right side
    241,880.80x = 30,566,768,254.08
  5. Step 5: Solve for x
    x = 30,566,768,254.08/241,880.80
  6. Step 6: Final answer
    x = 126,371.21

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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.