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Finding the Fourth Proportional to 126,349.61, 189,356.54 and 55,164.65

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Solution

The fourth proportional to 126,349.61, 189,356.54 and 55,164.65 is: 82,673.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,349.61 : 189,356.54 = 55,164.65 : x
  2. Step 2: Convert to fraction form
    126,349.61/189,356.54 = 55,164.65/x
  3. Step 3: Cross multiply
    126,349.61x = 189,356.54 × 55,164.65
  4. Step 4: Simplify right side
    126,349.61x = 10,445,786,031.71
  5. Step 5: Solve for x
    x = 10,445,786,031.71/126,349.61
  6. Step 6: Final answer
    x = 82,673.67

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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.