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Finding the Fourth Proportional to 177,417.72, 266,180.72 and 106,419.20

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Solution

The fourth proportional to 177,417.72, 266,180.72 and 106,419.20 is: 159,661.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,417.72 : 266,180.72 = 106,419.20 : x
  2. Step 2: Convert to fraction form
    177,417.72/266,180.72 = 106,419.20/x
  3. Step 3: Cross multiply
    177,417.72x = 266,180.72 × 106,419.20
  4. Step 4: Simplify right side
    177,417.72x = 28,326,737,414.82
  5. Step 5: Solve for x
    x = 28,326,737,414.82/177,417.72
  6. Step 6: Final answer
    x = 159,661.26

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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.