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Finding the Fourth Proportional to 224,951.76, 310,476.60 and 144,480.96

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Solution

The fourth proportional to 224,951.76, 310,476.60 and 144,480.96 is: 199,411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,951.76 : 310,476.60 = 144,480.96 : x
  2. Step 2: Convert to fraction form
    224,951.76/310,476.60 = 144,480.96/x
  3. Step 3: Cross multiply
    224,951.76x = 310,476.60 × 144,480.96
  4. Step 4: Simplify right side
    224,951.76x = 44,857,957,225.54
  5. Step 5: Solve for x
    x = 44,857,957,225.54/224,951.76
  6. Step 6: Final answer
    x = 199,411.45

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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.