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Finding the Fourth Proportional to 140,102.75, 193,341.84 and 89,801.75

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Solution

The fourth proportional to 140,102.75, 193,341.84 and 89,801.75 is: 123,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,102.75 : 193,341.84 = 89,801.75 : x
  2. Step 2: Convert to fraction form
    140,102.75/193,341.84 = 89,801.75/x
  3. Step 3: Cross multiply
    140,102.75x = 193,341.84 × 89,801.75
  4. Step 4: Simplify right side
    140,102.75x = 17,362,435,580.22
  5. Step 5: Solve for x
    x = 17,362,435,580.22/140,102.75
  6. Step 6: Final answer
    x = 123,926.44

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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.