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Finding the Fourth Proportional to 224,845.93, 310,278.12 and 122,874.77

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Solution

The fourth proportional to 224,845.93, 310,278.12 and 122,874.77 is: 169,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,845.93 : 310,278.12 = 122,874.77 : x
  2. Step 2: Convert to fraction form
    224,845.93/310,278.12 = 122,874.77/x
  3. Step 3: Cross multiply
    224,845.93x = 310,278.12 × 122,874.77
  4. Step 4: Simplify right side
    224,845.93x = 38,125,353,291.53
  5. Step 5: Solve for x
    x = 38,125,353,291.53/224,845.93
  6. Step 6: Final answer
    x = 169,562.13

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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.