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Finding the Fourth Proportional to 102,617.80, 141,644.82 and 60,193.48

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Solution

The fourth proportional to 102,617.80, 141,644.82 and 60,193.48 is: 83,085.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,617.80 : 141,644.82 = 60,193.48 : x
  2. Step 2: Convert to fraction form
    102,617.80/141,644.82 = 60,193.48/x
  3. Step 3: Cross multiply
    102,617.80x = 141,644.82 × 60,193.48
  4. Step 4: Simplify right side
    102,617.80x = 8,526,094,639.77
  5. Step 5: Solve for x
    x = 8,526,094,639.77/102,617.80
  6. Step 6: Final answer
    x = 83,085.92

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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.