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Finding the Fourth Proportional to 254,541.92, 381,813.92 and 86,063.16

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Solution

The fourth proportional to 254,541.92, 381,813.92 and 86,063.16 is: 129,095.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,541.92 : 381,813.92 = 86,063.16 : x
  2. Step 2: Convert to fraction form
    254,541.92/381,813.92 = 86,063.16/x
  3. Step 3: Cross multiply
    254,541.92x = 381,813.92 × 86,063.16
  4. Step 4: Simplify right side
    254,541.92x = 32,860,112,487.19
  5. Step 5: Solve for x
    x = 32,860,112,487.19/254,541.92
  6. Step 6: Final answer
    x = 129,095.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.