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Finding the Fourth Proportional to 116,232.39, 160,095.15 and 89,323.38

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Solution

The fourth proportional to 116,232.39, 160,095.15 and 89,323.38 is: 123,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,232.39 : 160,095.15 = 89,323.38 : x
  2. Step 2: Convert to fraction form
    116,232.39/160,095.15 = 89,323.38/x
  3. Step 3: Cross multiply
    116,232.39x = 160,095.15 × 89,323.38
  4. Step 4: Simplify right side
    116,232.39x = 14,300,239,919.61
  5. Step 5: Solve for x
    x = 14,300,239,919.61/116,232.39
  6. Step 6: Final answer
    x = 123,031.45

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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.