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Finding the Fourth Proportional to 266,214.85, 367,333.13 and 157,304.03

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Solution

The fourth proportional to 266,214.85, 367,333.13 and 157,304.03 is: 217,053.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,214.85 : 367,333.13 = 157,304.03 : x
  2. Step 2: Convert to fraction form
    266,214.85/367,333.13 = 157,304.03/x
  3. Step 3: Cross multiply
    266,214.85x = 367,333.13 × 157,304.03
  4. Step 4: Simplify right side
    266,214.85x = 57,782,979,373.27
  5. Step 5: Solve for x
    x = 57,782,979,373.27/266,214.85
  6. Step 6: Final answer
    x = 217,053.93

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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.