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Finding the Fourth Proportional to 97,254.90, 145,991.70 and 75,166.20

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Solution

The fourth proportional to 97,254.90, 145,991.70 and 75,166.20 is: 112,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,254.90 : 145,991.70 = 75,166.20 : x
  2. Step 2: Convert to fraction form
    97,254.90/145,991.70 = 75,166.20/x
  3. Step 3: Cross multiply
    97,254.90x = 145,991.70 × 75,166.20
  4. Step 4: Simplify right side
    97,254.90x = 10,973,641,320.54
  5. Step 5: Solve for x
    x = 10,973,641,320.54/97,254.90
  6. Step 6: Final answer
    x = 112,833.81

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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.