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Finding the Fourth Proportional to 132,085.40, 198,153.70 and 66,421.40

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Solution

The fourth proportional to 132,085.40, 198,153.70 and 66,421.40 is: 99,644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,085.40 : 198,153.70 = 66,421.40 : x
  2. Step 2: Convert to fraction form
    132,085.40/198,153.70 = 66,421.40/x
  3. Step 3: Cross multiply
    132,085.40x = 198,153.70 × 66,421.40
  4. Step 4: Simplify right side
    132,085.40x = 13,161,646,169.18
  5. Step 5: Solve for x
    x = 13,161,646,169.18/132,085.40
  6. Step 6: Final answer
    x = 99,644.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.