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Finding the Fourth Proportional to 159,530.80, 239,296.20 and 97,322.80

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Solution

The fourth proportional to 159,530.80, 239,296.20 and 97,322.80 is: 145,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,530.80 : 239,296.20 = 97,322.80 : x
  2. Step 2: Convert to fraction form
    159,530.80/239,296.20 = 97,322.80/x
  3. Step 3: Cross multiply
    159,530.80x = 239,296.20 × 97,322.80
  4. Step 4: Simplify right side
    159,530.80x = 23,288,976,213.36
  5. Step 5: Solve for x
    x = 23,288,976,213.36/159,530.80
  6. Step 6: Final answer
    x = 145,984.20

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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.