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Finding the Fourth Proportional to 253,875.32, 381,041.40 and 135,647.72

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Solution

The fourth proportional to 253,875.32, 381,041.40 and 135,647.72 is: 203,593.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,875.32 : 381,041.40 = 135,647.72 : x
  2. Step 2: Convert to fraction form
    253,875.32/381,041.40 = 135,647.72/x
  3. Step 3: Cross multiply
    253,875.32x = 381,041.40 × 135,647.72
  4. Step 4: Simplify right side
    253,875.32x = 51,687,397,135.61
  5. Step 5: Solve for x
    x = 51,687,397,135.61/253,875.32
  6. Step 6: Final answer
    x = 203,593.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.