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Finding the Fourth Proportional to 177,423.76, 266,057.88 and 66,538

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Solution

The fourth proportional to 177,423.76, 266,057.88 and 66,538 is: 99,777.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,423.76 : 266,057.88 = 66,538 : x
  2. Step 2: Convert to fraction form
    177,423.76/266,057.88 = 66,538/x
  3. Step 3: Cross multiply
    177,423.76x = 266,057.88 × 66,538
  4. Step 4: Simplify right side
    177,423.76x = 17,702,959,219.44
  5. Step 5: Solve for x
    x = 17,702,959,219.44/177,423.76
  6. Step 6: Final answer
    x = 99,777.84

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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.