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Finding the Fourth Proportional to 177,382.67, 265,932.73 and 102,417.78

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Solution

The fourth proportional to 177,382.67, 265,932.73 and 102,417.78 is: 153,545.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,382.67 : 265,932.73 = 102,417.78 : x
  2. Step 2: Convert to fraction form
    177,382.67/265,932.73 = 102,417.78/x
  3. Step 3: Cross multiply
    177,382.67x = 265,932.73 × 102,417.78
  4. Step 4: Simplify right side
    177,382.67x = 27,236,239,323.85
  5. Step 5: Solve for x
    x = 27,236,239,323.85/177,382.67
  6. Step 6: Final answer
    x = 153,545.10

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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.