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Finding the Fourth Proportional to 177,638.43, 266,446.71 and 59,299.86

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Solution

The fourth proportional to 177,638.43, 266,446.71 and 59,299.86 is: 88,946.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,638.43 : 266,446.71 = 59,299.86 : x
  2. Step 2: Convert to fraction form
    177,638.43/266,446.71 = 59,299.86/x
  3. Step 3: Cross multiply
    177,638.43x = 266,446.71 × 59,299.86
  4. Step 4: Simplify right side
    177,638.43x = 15,800,252,600.46
  5. Step 5: Solve for x
    x = 15,800,252,600.46/177,638.43
  6. Step 6: Final answer
    x = 88,946.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.