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Finding the Fourth Proportional to 158,689.82, 237,918.08 and 75,642.14

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Solution

The fourth proportional to 158,689.82, 237,918.08 and 75,642.14 is: 113,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,689.82 : 237,918.08 = 75,642.14 : x
  2. Step 2: Convert to fraction form
    158,689.82/237,918.08 = 75,642.14/x
  3. Step 3: Cross multiply
    158,689.82x = 237,918.08 × 75,642.14
  4. Step 4: Simplify right side
    158,689.82x = 17,996,632,715.89
  5. Step 5: Solve for x
    x = 17,996,632,715.89/158,689.82
  6. Step 6: Final answer
    x = 113,407.61

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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.