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Finding the Fourth Proportional to 92,095.16, 126,981.42 and 65,242.04

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Solution

The fourth proportional to 92,095.16, 126,981.42 and 65,242.04 is: 89,956.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,095.16 : 126,981.42 = 65,242.04 : x
  2. Step 2: Convert to fraction form
    92,095.16/126,981.42 = 65,242.04/x
  3. Step 3: Cross multiply
    92,095.16x = 126,981.42 × 65,242.04
  4. Step 4: Simplify right side
    92,095.16x = 8,284,526,882.90
  5. Step 5: Solve for x
    x = 8,284,526,882.90/92,095.16
  6. Step 6: Final answer
    x = 89,956.16

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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.