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Finding the Fourth Proportional to 217,225.68, 299,766.52 and 126,576

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Solution

The fourth proportional to 217,225.68, 299,766.52 and 126,576 is: 174,672.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,225.68 : 299,766.52 = 126,576 : x
  2. Step 2: Convert to fraction form
    217,225.68/299,766.52 = 126,576/x
  3. Step 3: Cross multiply
    217,225.68x = 299,766.52 × 126,576
  4. Step 4: Simplify right side
    217,225.68x = 37,943,247,035.52
  5. Step 5: Solve for x
    x = 37,943,247,035.52/217,225.68
  6. Step 6: Final answer
    x = 174,672.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.