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Finding the Fourth Proportional to 131,140.40, 197,099.40 and 114,033.20

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Solution

The fourth proportional to 131,140.40, 197,099.40 and 114,033.20 is: 171,387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,140.40 : 197,099.40 = 114,033.20 : x
  2. Step 2: Convert to fraction form
    131,140.40/197,099.40 = 114,033.20/x
  3. Step 3: Cross multiply
    131,140.40x = 197,099.40 × 114,033.20
  4. Step 4: Simplify right side
    131,140.40x = 22,475,875,300.08
  5. Step 5: Solve for x
    x = 22,475,875,300.08/131,140.40
  6. Step 6: Final answer
    x = 171,387.88

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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.