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Finding the Fourth Proportional to 132,024, 182,204.64 and 72,419.52

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Solution

The fourth proportional to 132,024, 182,204.64 and 72,419.52 is: 99,945.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,024 : 182,204.64 = 72,419.52 : x
  2. Step 2: Convert to fraction form
    132,024/182,204.64 = 72,419.52/x
  3. Step 3: Cross multiply
    132,024x = 182,204.64 × 72,419.52
  4. Step 4: Simplify right side
    132,024x = 13,195,172,570.57
  5. Step 5: Solve for x
    x = 13,195,172,570.57/132,024
  6. Step 6: Final answer
    x = 99,945.26

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