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Finding the Fourth Proportional to 266,675.12, 367,981.52 and 157,782.80

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Solution

The fourth proportional to 266,675.12, 367,981.52 and 157,782.80 is: 217,722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,675.12 : 367,981.52 = 157,782.80 : x
  2. Step 2: Convert to fraction form
    266,675.12/367,981.52 = 157,782.80/x
  3. Step 3: Cross multiply
    266,675.12x = 367,981.52 × 157,782.80
  4. Step 4: Simplify right side
    266,675.12x = 58,061,151,945.03
  5. Step 5: Solve for x
    x = 58,061,151,945.03/266,675.12
  6. Step 6: Final answer
    x = 217,722.42

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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.