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Finding the Fourth Proportional to 129,303.68, 193,947.64 and 61,883.64

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Solution

The fourth proportional to 129,303.68, 193,947.64 and 61,883.64 is: 92,821.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,303.68 : 193,947.64 = 61,883.64 : x
  2. Step 2: Convert to fraction form
    129,303.68/193,947.64 = 61,883.64/x
  3. Step 3: Cross multiply
    129,303.68x = 193,947.64 × 61,883.64
  4. Step 4: Simplify right side
    129,303.68x = 12,002,185,777.90
  5. Step 5: Solve for x
    x = 12,002,185,777.90/129,303.68
  6. Step 6: Final answer
    x = 92,821.69

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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.