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Finding the Fourth Proportional to 177,859.26, 266,789.34 and 72,678.21

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Solution

The fourth proportional to 177,859.26, 266,789.34 and 72,678.21 is: 109,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,859.26 : 266,789.34 = 72,678.21 : x
  2. Step 2: Convert to fraction form
    177,859.26/266,789.34 = 72,678.21/x
  3. Step 3: Cross multiply
    177,859.26x = 266,789.34 × 72,678.21
  4. Step 4: Simplify right side
    177,859.26x = 19,389,771,678.28
  5. Step 5: Solve for x
    x = 19,389,771,678.28/177,859.26
  6. Step 6: Final answer
    x = 109,017.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.