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Finding the Fourth Proportional to 132,047.69, 182,225.90 and 71,618.31

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Solution

The fourth proportional to 132,047.69, 182,225.90 and 71,618.31 is: 98,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,047.69 : 182,225.90 = 71,618.31 : x
  2. Step 2: Convert to fraction form
    132,047.69/182,225.90 = 71,618.31/x
  3. Step 3: Cross multiply
    132,047.69x = 182,225.90 × 71,618.31
  4. Step 4: Simplify right side
    132,047.69x = 13,050,710,638.14
  5. Step 5: Solve for x
    x = 13,050,710,638.14/132,047.69
  6. Step 6: Final answer
    x = 98,833.32

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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.