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Finding the Fourth Proportional to 159,902.24, 239,802.32 and 65,132.24

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Solution

The fourth proportional to 159,902.24, 239,802.32 and 65,132.24 is: 97,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,902.24 : 239,802.32 = 65,132.24 : x
  2. Step 2: Convert to fraction form
    159,902.24/239,802.32 = 65,132.24/x
  3. Step 3: Cross multiply
    159,902.24x = 239,802.32 × 65,132.24
  4. Step 4: Simplify right side
    159,902.24x = 15,618,861,222.62
  5. Step 5: Solve for x
    x = 15,618,861,222.62/159,902.24
  6. Step 6: Final answer
    x = 97,677.57

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1.5x scale

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.