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Finding the Fourth Proportional to 224,747.58, 310,152.12 and 122,773.80

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Solution

The fourth proportional to 224,747.58, 310,152.12 and 122,773.80 is: 169,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,747.58 : 310,152.12 = 122,773.80 : x
  2. Step 2: Convert to fraction form
    224,747.58/310,152.12 = 122,773.80/x
  3. Step 3: Cross multiply
    224,747.58x = 310,152.12 × 122,773.80
  4. Step 4: Simplify right side
    224,747.58x = 38,078,554,350.46
  5. Step 5: Solve for x
    x = 38,078,554,350.46/224,747.58
  6. Step 6: Final answer
    x = 169,428.10

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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.