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Finding the Fourth Proportional to 224,929.17, 310,429.53 and 129,433.82

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Solution

The fourth proportional to 224,929.17, 310,429.53 and 129,433.82 is: 178,634.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,929.17 : 310,429.53 = 129,433.82 : x
  2. Step 2: Convert to fraction form
    224,929.17/310,429.53 = 129,433.82/x
  3. Step 3: Cross multiply
    224,929.17x = 310,429.53 × 129,433.82
  4. Step 4: Simplify right side
    224,929.17x = 40,180,078,356.56
  5. Step 5: Solve for x
    x = 40,180,078,356.56/224,929.17
  6. Step 6: Final answer
    x = 178,634.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.