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Finding the Fourth Proportional to 224,734.40, 310,134.53 and 122,761.28

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Solution

The fourth proportional to 224,734.40, 310,134.53 and 122,761.28 is: 169,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,734.40 : 310,134.53 = 122,761.28 : x
  2. Step 2: Convert to fraction form
    224,734.40/310,134.53 = 122,761.28/x
  3. Step 3: Cross multiply
    224,734.40x = 310,134.53 × 122,761.28
  4. Step 4: Simplify right side
    224,734.40x = 38,072,510,631.23
  5. Step 5: Solve for x
    x = 38,072,510,631.23/224,734.40
  6. Step 6: Final answer
    x = 169,411.14

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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.