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Finding the Fourth Proportional to 177,513.14, 266,114.18 and 66,782.90

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Solution

The fourth proportional to 177,513.14, 266,114.18 and 66,782.90 is: 100,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,513.14 : 266,114.18 = 66,782.90 : x
  2. Step 2: Convert to fraction form
    177,513.14/266,114.18 = 66,782.90/x
  3. Step 3: Cross multiply
    177,513.14x = 266,114.18 × 66,782.90
  4. Step 4: Simplify right side
    177,513.14x = 17,771,876,671.52
  5. Step 5: Solve for x
    x = 17,771,876,671.52/177,513.14
  6. Step 6: Final answer
    x = 100,115.84

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