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Finding the Fourth Proportional to 159,708.80, 239,102.40 and 97,500.80

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Solution

The fourth proportional to 159,708.80, 239,102.40 and 97,500.80 is: 145,969.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,708.80 : 239,102.40 = 97,500.80 : x
  2. Step 2: Convert to fraction form
    159,708.80/239,102.40 = 97,500.80/x
  3. Step 3: Cross multiply
    159,708.80x = 239,102.40 × 97,500.80
  4. Step 4: Simplify right side
    159,708.80x = 23,312,675,281.92
  5. Step 5: Solve for x
    x = 23,312,675,281.92/159,708.80
  6. Step 6: Final answer
    x = 145,969.89

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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.