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Finding the Fourth Proportional to 235,517.84, 325,098.08 and 140,024.08

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Solution

The fourth proportional to 235,517.84, 325,098.08 and 140,024.08 is: 193,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,517.84 : 325,098.08 = 140,024.08 : x
  2. Step 2: Convert to fraction form
    235,517.84/325,098.08 = 140,024.08/x
  3. Step 3: Cross multiply
    235,517.84x = 325,098.08 × 140,024.08
  4. Step 4: Simplify right side
    235,517.84x = 45,521,559,561.77
  5. Step 5: Solve for x
    x = 45,521,559,561.77/235,517.84
  6. Step 6: Final answer
    x = 193,282.85

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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.