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Finding the Fourth Proportional to 140,102, 193,340.76 and 89,801.12

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Solution

The fourth proportional to 140,102, 193,340.76 and 89,801.12 is: 123,925.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,102 : 193,340.76 = 89,801.12 : x
  2. Step 2: Convert to fraction form
    140,102/193,340.76 = 89,801.12/x
  3. Step 3: Cross multiply
    140,102x = 193,340.76 × 89,801.12
  4. Step 4: Simplify right side
    140,102x = 17,362,216,789.65
  5. Step 5: Solve for x
    x = 17,362,216,789.65/140,102
  6. Step 6: Final answer
    x = 123,925.55

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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.