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Finding the Fourth Proportional to 132,019.98, 182,197.21 and 75,430.14

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Solution

The fourth proportional to 132,019.98, 182,197.21 and 75,430.14 is: 104,099.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,019.98 : 182,197.21 = 75,430.14 : x
  2. Step 2: Convert to fraction form
    132,019.98/182,197.21 = 75,430.14/x
  3. Step 3: Cross multiply
    132,019.98x = 182,197.21 × 75,430.14
  4. Step 4: Simplify right side
    132,019.98x = 13,743,161,057.91
  5. Step 5: Solve for x
    x = 13,743,161,057.91/132,019.98
  6. Step 6: Final answer
    x = 104,099.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.