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Finding the Fourth Proportional to 224,677.05, 310,056.42 and 127,876.15

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Solution

The fourth proportional to 224,677.05, 310,056.42 and 127,876.15 is: 176,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,677.05 : 310,056.42 = 127,876.15 : x
  2. Step 2: Convert to fraction form
    224,677.05/310,056.42 = 127,876.15/x
  3. Step 3: Cross multiply
    224,677.05x = 310,056.42 × 127,876.15
  4. Step 4: Simplify right side
    224,677.05x = 39,648,821,272.38
  5. Step 5: Solve for x
    x = 39,648,821,272.38/224,677.05
  6. Step 6: Final answer
    x = 176,470.28

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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.