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Finding the Fourth Proportional to 129,907.50, 194,298.36 and 76,472.16

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Solution

The fourth proportional to 129,907.50, 194,298.36 and 76,472.16 is: 114,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,907.50 : 194,298.36 = 76,472.16 : x
  2. Step 2: Convert to fraction form
    129,907.50/194,298.36 = 76,472.16/x
  3. Step 3: Cross multiply
    129,907.50x = 194,298.36 × 76,472.16
  4. Step 4: Simplify right side
    129,907.50x = 14,858,415,273.66
  5. Step 5: Solve for x
    x = 14,858,415,273.66/129,907.50
  6. Step 6: Final answer
    x = 114,376.89

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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.