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Finding the Fourth Proportional to 140,076, 193,304.88 and 89,775

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Solution

The fourth proportional to 140,076, 193,304.88 and 89,775 is: 123,889.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,076 : 193,304.88 = 89,775 : x
  2. Step 2: Convert to fraction form
    140,076/193,304.88 = 89,775/x
  3. Step 3: Cross multiply
    140,076x = 193,304.88 × 89,775
  4. Step 4: Simplify right side
    140,076x = 17,353,945,602
  5. Step 5: Solve for x
    x = 17,353,945,602/140,076
  6. Step 6: Final answer
    x = 123,889.50

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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.