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Finding the Fourth Proportional to 147,393.68, 203,378.38 and 82,854.38

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Solution

The fourth proportional to 147,393.68, 203,378.38 and 82,854.38 is: 114,325.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,393.68 : 203,378.38 = 82,854.38 : x
  2. Step 2: Convert to fraction form
    147,393.68/203,378.38 = 82,854.38/x
  3. Step 3: Cross multiply
    147,393.68x = 203,378.38 × 82,854.38
  4. Step 4: Simplify right side
    147,393.68x = 16,850,789,881.61
  5. Step 5: Solve for x
    x = 16,850,789,881.61/147,393.68
  6. Step 6: Final answer
    x = 114,325.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.