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Finding the Fourth Proportional to 224,894.18, 310,365.52 and 129,415.16

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Solution

The fourth proportional to 224,894.18, 310,365.52 and 129,415.16 is: 178,599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,894.18 : 310,365.52 = 129,415.16 : x
  2. Step 2: Convert to fraction form
    224,894.18/310,365.52 = 129,415.16/x
  3. Step 3: Cross multiply
    224,894.18x = 310,365.52 × 129,415.16
  4. Step 4: Simplify right side
    224,894.18x = 40,166,001,553.92
  5. Step 5: Solve for x
    x = 40,166,001,553.92/224,894.18
  6. Step 6: Final answer
    x = 178,599.56

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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.