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Finding the Fourth Proportional to 177,765.44, 266,503.37 and 77,849.51

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Solution

The fourth proportional to 177,765.44, 266,503.37 and 77,849.51 is: 116,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,765.44 : 266,503.37 = 77,849.51 : x
  2. Step 2: Convert to fraction form
    177,765.44/266,503.37 = 77,849.51/x
  3. Step 3: Cross multiply
    177,765.44x = 266,503.37 × 77,849.51
  4. Step 4: Simplify right side
    177,765.44x = 20,747,155,046.08
  5. Step 5: Solve for x
    x = 20,747,155,046.08/177,765.44
  6. Step 6: Final answer
    x = 116,710.85

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1.5x scale

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.