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Finding the Fourth Proportional to 97,722.40, 146,410.80 and 86,663.20

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Solution

The fourth proportional to 97,722.40, 146,410.80 and 86,663.20 is: 129,841.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,722.40 : 146,410.80 = 86,663.20 : x
  2. Step 2: Convert to fraction form
    97,722.40/146,410.80 = 86,663.20/x
  3. Step 3: Cross multiply
    97,722.40x = 146,410.80 × 86,663.20
  4. Step 4: Simplify right side
    97,722.40x = 12,688,428,442.56
  5. Step 5: Solve for x
    x = 12,688,428,442.56/97,722.40
  6. Step 6: Final answer
    x = 129,841.56

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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.