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Finding the Fourth Proportional to 123,497.38, 170,324.94 and 75,717.10

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Solution

The fourth proportional to 123,497.38, 170,324.94 and 75,717.10 is: 104,427.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,497.38 : 170,324.94 = 75,717.10 : x
  2. Step 2: Convert to fraction form
    123,497.38/170,324.94 = 75,717.10/x
  3. Step 3: Cross multiply
    123,497.38x = 170,324.94 × 75,717.10
  4. Step 4: Simplify right side
    123,497.38x = 12,896,510,514.47
  5. Step 5: Solve for x
    x = 12,896,510,514.47/123,497.38
  6. Step 6: Final answer
    x = 104,427.40

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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.