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Finding the Fourth Proportional to 97,857.20, 146,656.20 and 86,711.60

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Solution

The fourth proportional to 97,857.20, 146,656.20 and 86,711.60 is: 129,952.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,857.20 : 146,656.20 = 86,711.60 : x
  2. Step 2: Convert to fraction form
    97,857.20/146,656.20 = 86,711.60/x
  3. Step 3: Cross multiply
    97,857.20x = 146,656.20 × 86,711.60
  4. Step 4: Simplify right side
    97,857.20x = 12,716,793,751.92
  5. Step 5: Solve for x
    x = 12,716,793,751.92/97,857.20
  6. Step 6: Final answer
    x = 129,952.56

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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.