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Finding the Fourth Proportional to 129,777.40, 194,666.10 and 76,414.60

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Solution

The fourth proportional to 129,777.40, 194,666.10 and 76,414.60 is: 114,621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,777.40 : 194,666.10 = 76,414.60 : x
  2. Step 2: Convert to fraction form
    129,777.40/194,666.10 = 76,414.60/x
  3. Step 3: Cross multiply
    129,777.40x = 194,666.10 × 76,414.60
  4. Step 4: Simplify right side
    129,777.40x = 14,875,332,165.06
  5. Step 5: Solve for x
    x = 14,875,332,165.06/129,777.40
  6. Step 6: Final answer
    x = 114,621.90

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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.