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Finding the Fourth Proportional to 191,101.38, 286,658.08 and 48,947.54

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Solution

The fourth proportional to 191,101.38, 286,658.08 and 48,947.54 is: 73,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,101.38 : 286,658.08 = 48,947.54 : x
  2. Step 2: Convert to fraction form
    191,101.38/286,658.08 = 48,947.54/x
  3. Step 3: Cross multiply
    191,101.38x = 286,658.08 × 48,947.54
  4. Step 4: Simplify right side
    191,101.38x = 14,031,207,837.12
  5. Step 5: Solve for x
    x = 14,031,207,837.12/191,101.38
  6. Step 6: Final answer
    x = 73,422.85

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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.