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Finding the Fourth Proportional to 148,547.92, 205,022.34 and 88,151.87

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Solution

The fourth proportional to 148,547.92, 205,022.34 and 88,151.87 is: 121,665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,547.92 : 205,022.34 = 88,151.87 : x
  2. Step 2: Convert to fraction form
    148,547.92/205,022.34 = 88,151.87/x
  3. Step 3: Cross multiply
    148,547.92x = 205,022.34 × 88,151.87
  4. Step 4: Simplify right side
    148,547.92x = 18,073,102,662.78
  5. Step 5: Solve for x
    x = 18,073,102,662.78/148,547.92
  6. Step 6: Final answer
    x = 121,665.13

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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.