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Finding the Fourth Proportional to 266,206.52, 367,321.67 and 157,295.72

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Solution

The fourth proportional to 266,206.52, 367,321.67 and 157,295.72 is: 217,042.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,206.52 : 367,321.67 = 157,295.72 : x
  2. Step 2: Convert to fraction form
    266,206.52/367,321.67 = 157,295.72/x
  3. Step 3: Cross multiply
    266,206.52x = 367,321.67 × 157,295.72
  4. Step 4: Simplify right side
    266,206.52x = 57,778,123,931.17
  5. Step 5: Solve for x
    x = 57,778,123,931.17/266,206.52
  6. Step 6: Final answer
    x = 217,042.48

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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.