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Finding the Fourth Proportional to 126,144.65, 189,002.86 and 76,119.64

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Solution

The fourth proportional to 126,144.65, 189,002.86 and 76,119.64 is: 114,050.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,144.65 : 189,002.86 = 76,119.64 : x
  2. Step 2: Convert to fraction form
    126,144.65/189,002.86 = 76,119.64/x
  3. Step 3: Cross multiply
    126,144.65x = 189,002.86 × 76,119.64
  4. Step 4: Simplify right side
    126,144.65x = 14,386,829,662.17
  5. Step 5: Solve for x
    x = 14,386,829,662.17/126,144.65
  6. Step 6: Final answer
    x = 114,050.26

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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.