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Finding the Fourth Proportional to 106,882.32, 160,245.72 and 65,358.48

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Solution

The fourth proportional to 106,882.32, 160,245.72 and 65,358.48 is: 97,990.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,882.32 : 160,245.72 = 65,358.48 : x
  2. Step 2: Convert to fraction form
    106,882.32/160,245.72 = 65,358.48/x
  3. Step 3: Cross multiply
    106,882.32x = 160,245.72 × 65,358.48
  4. Step 4: Simplify right side
    106,882.32x = 10,473,416,685.71
  5. Step 5: Solve for x
    x = 10,473,416,685.71/106,882.32
  6. Step 6: Final answer
    x = 97,990.17

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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.