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Finding the Fourth Proportional to 140,121, 193,366.98 and 89,820

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Solution

The fourth proportional to 140,121, 193,366.98 and 89,820 is: 123,951.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,121 : 193,366.98 = 89,820 : x
  2. Step 2: Convert to fraction form
    140,121/193,366.98 = 89,820/x
  3. Step 3: Cross multiply
    140,121x = 193,366.98 × 89,820
  4. Step 4: Simplify right side
    140,121x = 17,368,222,143.60
  5. Step 5: Solve for x
    x = 17,368,222,143.60/140,121
  6. Step 6: Final answer
    x = 123,951.60

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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.