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Finding the Fourth Proportional to 129,014.94, 193,423.05 and 40,215.90

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Solution

The fourth proportional to 129,014.94, 193,423.05 and 40,215.90 is: 60,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,014.94 : 193,423.05 = 40,215.90 : x
  2. Step 2: Convert to fraction form
    129,014.94/193,423.05 = 40,215.90/x
  3. Step 3: Cross multiply
    129,014.94x = 193,423.05 × 40,215.90
  4. Step 4: Simplify right side
    129,014.94x = 7,778,682,036.50
  5. Step 5: Solve for x
    x = 7,778,682,036.50/129,014.94
  6. Step 6: Final answer
    x = 60,292.88

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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.