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Finding the Fourth Proportional to 148,493.92, 204,925.68 and 84,842.08

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Solution

The fourth proportional to 148,493.92, 204,925.68 and 84,842.08 is: 117,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,493.92 : 204,925.68 = 84,842.08 : x
  2. Step 2: Convert to fraction form
    148,493.92/204,925.68 = 84,842.08/x
  3. Step 3: Cross multiply
    148,493.92x = 204,925.68 × 84,842.08
  4. Step 4: Simplify right side
    148,493.92x = 17,386,320,936.61
  5. Step 5: Solve for x
    x = 17,386,320,936.61/148,493.92
  6. Step 6: Final answer
    x = 117,084.40

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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.