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Finding the Fourth Proportional to 224,824.40, 337,139.40 and 112,461.20

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Solution

The fourth proportional to 224,824.40, 337,139.40 and 112,461.20 is: 168,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,824.40 : 337,139.40 = 112,461.20 : x
  2. Step 2: Convert to fraction form
    224,824.40/337,139.40 = 112,461.20/x
  3. Step 3: Cross multiply
    224,824.40x = 337,139.40 × 112,461.20
  4. Step 4: Simplify right side
    224,824.40x = 37,915,101,491.28
  5. Step 5: Solve for x
    x = 37,915,101,491.28/224,824.40
  6. Step 6: Final answer
    x = 168,643.18

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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.