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Finding the Fourth Proportional to 93,411.20, 140,116.80 and 86,194.10

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Solution

The fourth proportional to 93,411.20, 140,116.80 and 86,194.10 is: 129,291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,411.20 : 140,116.80 = 86,194.10 : x
  2. Step 2: Convert to fraction form
    93,411.20/140,116.80 = 86,194.10/x
  3. Step 3: Cross multiply
    93,411.20x = 140,116.80 × 86,194.10
  4. Step 4: Simplify right side
    93,411.20x = 12,077,241,470.88
  5. Step 5: Solve for x
    x = 12,077,241,470.88/93,411.20
  6. Step 6: Final answer
    x = 129,291.15

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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.