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Finding the Fourth Proportional to 177,432.70, 266,149.05 and 175,099.90

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Solution

The fourth proportional to 177,432.70, 266,149.05 and 175,099.90 is: 262,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,432.70 : 266,149.05 = 175,099.90 : x
  2. Step 2: Convert to fraction form
    177,432.70/266,149.05 = 175,099.90/x
  3. Step 3: Cross multiply
    177,432.70x = 266,149.05 × 175,099.90
  4. Step 4: Simplify right side
    177,432.70x = 46,602,672,040.10
  5. Step 5: Solve for x
    x = 46,602,672,040.10/177,432.70
  6. Step 6: Final answer
    x = 262,649.85

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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.