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Finding the Fourth Proportional to 132,146.42, 182,363.40 and 71,717.59

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Solution

The fourth proportional to 132,146.42, 182,363.40 and 71,717.59 is: 98,971.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,146.42 : 182,363.40 = 71,717.59 : x
  2. Step 2: Convert to fraction form
    132,146.42/182,363.40 = 71,717.59/x
  3. Step 3: Cross multiply
    132,146.42x = 182,363.40 × 71,717.59
  4. Step 4: Simplify right side
    132,146.42x = 13,078,663,552.21
  5. Step 5: Solve for x
    x = 13,078,663,552.21/132,146.42
  6. Step 6: Final answer
    x = 98,971.00

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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.