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Finding the Fourth Proportional to 266,098.08, 367,218.80 and 157,206

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Solution

The fourth proportional to 266,098.08, 367,218.80 and 157,206 is: 216,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,098.08 : 367,218.80 = 157,206 : x
  2. Step 2: Convert to fraction form
    266,098.08/367,218.80 = 157,206/x
  3. Step 3: Cross multiply
    266,098.08x = 367,218.80 × 157,206
  4. Step 4: Simplify right side
    266,098.08x = 57,728,998,672.80
  5. Step 5: Solve for x
    x = 57,728,998,672.80/266,098.08
  6. Step 6: Final answer
    x = 216,946.32

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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.