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Finding the Fourth Proportional to 217,215.66, 299,752.74 and 126,565.98

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Solution

The fourth proportional to 217,215.66, 299,752.74 and 126,565.98 is: 174,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,215.66 : 299,752.74 = 126,565.98 : x
  2. Step 2: Convert to fraction form
    217,215.66/299,752.74 = 126,565.98/x
  3. Step 3: Cross multiply
    217,215.66x = 299,752.74 × 126,565.98
  4. Step 4: Simplify right side
    217,215.66x = 37,938,499,295.79
  5. Step 5: Solve for x
    x = 37,938,499,295.79/217,215.66
  6. Step 6: Final answer
    x = 174,658.21

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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.