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Finding the Fourth Proportional to 132,041, 182,216.88 and 75,452.24

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Solution

The fourth proportional to 132,041, 182,216.88 and 75,452.24 is: 104,124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,041 : 182,216.88 = 75,452.24 : x
  2. Step 2: Convert to fraction form
    132,041/182,216.88 = 75,452.24/x
  3. Step 3: Cross multiply
    132,041x = 182,216.88 × 75,452.24
  4. Step 4: Simplify right side
    132,041x = 13,748,671,761.81
  5. Step 5: Solve for x
    x = 13,748,671,761.81/132,041
  6. Step 6: Final answer
    x = 104,124.26

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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.