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Finding the Fourth Proportional to 129,013.98, 193,595.74 and 54,127.50

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Solution

The fourth proportional to 129,013.98, 193,595.74 and 54,127.50 is: 81,222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,013.98 : 193,595.74 = 54,127.50 : x
  2. Step 2: Convert to fraction form
    129,013.98/193,595.74 = 54,127.50/x
  3. Step 3: Cross multiply
    129,013.98x = 193,595.74 × 54,127.50
  4. Step 4: Simplify right side
    129,013.98x = 10,478,853,416.85
  5. Step 5: Solve for x
    x = 10,478,853,416.85/129,013.98
  6. Step 6: Final answer
    x = 81,222.62

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