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Finding the Fourth Proportional to 130,099.92, 195,162.93 and 35,331.54

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Solution

The fourth proportional to 130,099.92, 195,162.93 and 35,331.54 is: 53,000.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,099.92 : 195,162.93 = 35,331.54 : x
  2. Step 2: Convert to fraction form
    130,099.92/195,162.93 = 35,331.54/x
  3. Step 3: Cross multiply
    130,099.92x = 195,162.93 × 35,331.54
  4. Step 4: Simplify right side
    130,099.92x = 6,895,406,867.81
  5. Step 5: Solve for x
    x = 6,895,406,867.81/130,099.92
  6. Step 6: Final answer
    x = 53,000.85

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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.