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Finding the Fourth Proportional to 146,700.32, 202,449.66 and 89,342.33

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Solution

The fourth proportional to 146,700.32, 202,449.66 and 89,342.33 is: 123,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,700.32 : 202,449.66 = 89,342.33 : x
  2. Step 2: Convert to fraction form
    146,700.32/202,449.66 = 89,342.33/x
  3. Step 3: Cross multiply
    146,700.32x = 202,449.66 × 89,342.33
  4. Step 4: Simplify right side
    146,700.32x = 18,087,324,332.11
  5. Step 5: Solve for x
    x = 18,087,324,332.11/146,700.32
  6. Step 6: Final answer
    x = 123,294.38

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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.