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Finding the Fourth Proportional to 224,977.20, 337,417.20 and 98,617.20

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Solution

The fourth proportional to 224,977.20, 337,417.20 and 98,617.20 is: 147,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,977.20 : 337,417.20 = 98,617.20 : x
  2. Step 2: Convert to fraction form
    224,977.20/337,417.20 = 98,617.20/x
  3. Step 3: Cross multiply
    224,977.20x = 337,417.20 × 98,617.20
  4. Step 4: Simplify right side
    224,977.20x = 33,275,139,495.84
  5. Step 5: Solve for x
    x = 33,275,139,495.84/224,977.20
  6. Step 6: Final answer
    x = 147,904.50

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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.