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Finding the Fourth Proportional to 177,422.56, 266,137.57 and 63,577.78

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Solution

The fourth proportional to 177,422.56, 266,137.57 and 63,577.78 is: 95,368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,422.56 : 266,137.57 = 63,577.78 : x
  2. Step 2: Convert to fraction form
    177,422.56/266,137.57 = 63,577.78/x
  3. Step 3: Cross multiply
    177,422.56x = 266,137.57 × 63,577.78
  4. Step 4: Simplify right side
    177,422.56x = 16,920,436,322.68
  5. Step 5: Solve for x
    x = 16,920,436,322.68/177,422.56
  6. Step 6: Final answer
    x = 95,368.01

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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.