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Finding the Fourth Proportional to 224,934.40, 337,012.80 and 106,350.40

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Solution

The fourth proportional to 224,934.40, 337,012.80 and 106,350.40 is: 159,341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,934.40 : 337,012.80 = 106,350.40 : x
  2. Step 2: Convert to fraction form
    224,934.40/337,012.80 = 106,350.40/x
  3. Step 3: Cross multiply
    224,934.40x = 337,012.80 × 106,350.40
  4. Step 4: Simplify right side
    224,934.40x = 35,841,446,085.12
  5. Step 5: Solve for x
    x = 35,841,446,085.12/224,934.40
  6. Step 6: Final answer
    x = 159,341.77

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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.