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Finding the Fourth Proportional to 177,634.42, 266,641.27 and 76,482.56

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Solution

The fourth proportional to 177,634.42, 266,641.27 and 76,482.56 is: 114,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,634.42 : 266,641.27 = 76,482.56 : x
  2. Step 2: Convert to fraction form
    177,634.42/266,641.27 = 76,482.56/x
  3. Step 3: Cross multiply
    177,634.42x = 266,641.27 × 76,482.56
  4. Step 4: Simplify right side
    177,634.42x = 20,393,407,406.65
  5. Step 5: Solve for x
    x = 20,393,407,406.65/177,634.42
  6. Step 6: Final answer
    x = 114,805.50

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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.