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Finding the Fourth Proportional to 177,806.86, 266,918.66 and 140,392.14

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Solution

The fourth proportional to 177,806.86, 266,918.66 and 140,392.14 is: 210,752.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,806.86 : 266,918.66 = 140,392.14 : x
  2. Step 2: Convert to fraction form
    177,806.86/266,918.66 = 140,392.14/x
  3. Step 3: Cross multiply
    177,806.86x = 266,918.66 × 140,392.14
  4. Step 4: Simplify right side
    177,806.86x = 37,473,281,883.33
  5. Step 5: Solve for x
    x = 37,473,281,883.33/177,806.86
  6. Step 6: Final answer
    x = 210,752.73

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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.