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Finding the Fourth Proportional to 107,652, 161,430.88 and 54,311.16

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Solution

The fourth proportional to 107,652, 161,430.88 and 54,311.16 is: 81,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,652 : 161,430.88 = 54,311.16 : x
  2. Step 2: Convert to fraction form
    107,652/161,430.88 = 54,311.16/x
  3. Step 3: Cross multiply
    107,652x = 161,430.88 × 54,311.16
  4. Step 4: Simplify right side
    107,652x = 8,767,498,352.62
  5. Step 5: Solve for x
    x = 8,767,498,352.62/107,652
  6. Step 6: Final answer
    x = 81,442.97

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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.