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Finding the Fourth Proportional to 129,427.40, 194,141.10 and 76,809.80

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Solution

The fourth proportional to 129,427.40, 194,141.10 and 76,809.80 is: 115,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,427.40 : 194,141.10 = 76,809.80 : x
  2. Step 2: Convert to fraction form
    129,427.40/194,141.10 = 76,809.80/x
  3. Step 3: Cross multiply
    129,427.40x = 194,141.10 × 76,809.80
  4. Step 4: Simplify right side
    129,427.40x = 14,911,939,062.78
  5. Step 5: Solve for x
    x = 14,911,939,062.78/129,427.40
  6. Step 6: Final answer
    x = 115,214.70

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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.