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Finding the Fourth Proportional to 107,951.90, 162,024.14 and 107,550.02

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Solution

The fourth proportional to 107,951.90, 162,024.14 and 107,550.02 is: 161,420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,951.90 : 162,024.14 = 107,550.02 : x
  2. Step 2: Convert to fraction form
    107,951.90/162,024.14 = 107,550.02/x
  3. Step 3: Cross multiply
    107,951.90x = 162,024.14 × 107,550.02
  4. Step 4: Simplify right side
    107,951.90x = 17,425,699,497.48
  5. Step 5: Solve for x
    x = 17,425,699,497.48/107,951.90
  6. Step 6: Final answer
    x = 161,420.96

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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.