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Finding the Fourth Proportional to 132,106.17, 182,301.20 and 71,674.50

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Solution

The fourth proportional to 132,106.17, 182,301.20 and 71,674.50 is: 98,907.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,106.17 : 182,301.20 = 71,674.50 : x
  2. Step 2: Convert to fraction form
    132,106.17/182,301.20 = 71,674.50/x
  3. Step 3: Cross multiply
    132,106.17x = 182,301.20 × 71,674.50
  4. Step 4: Simplify right side
    132,106.17x = 13,066,347,001.03
  5. Step 5: Solve for x
    x = 13,066,347,001.03/132,106.17
  6. Step 6: Final answer
    x = 98,907.92

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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.