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Finding the Fourth Proportional to 140,832.84, 210,157.35 and 125,877

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Solution

The fourth proportional to 140,832.84, 210,157.35 and 125,877 is: 187,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,832.84 : 210,157.35 = 125,877 : x
  2. Step 2: Convert to fraction form
    140,832.84/210,157.35 = 125,877/x
  3. Step 3: Cross multiply
    140,832.84x = 210,157.35 × 125,877
  4. Step 4: Simplify right side
    140,832.84x = 26,453,976,745.95
  5. Step 5: Solve for x
    x = 26,453,976,745.95/140,832.84
  6. Step 6: Final answer
    x = 187,839.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.