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Finding the Fourth Proportional to 107,694.92, 161,837.50 and 101,580.86

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Solution

The fourth proportional to 107,694.92, 161,837.50 and 101,580.86 is: 152,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,694.92 : 161,837.50 = 101,580.86 : x
  2. Step 2: Convert to fraction form
    107,694.92/161,837.50 = 101,580.86/x
  3. Step 3: Cross multiply
    107,694.92x = 161,837.50 × 101,580.86
  4. Step 4: Simplify right side
    107,694.92x = 16,439,592,430.25
  5. Step 5: Solve for x
    x = 16,439,592,430.25/107,694.92
  6. Step 6: Final answer
    x = 152,649.66

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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.