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Finding the Fourth Proportional to 177,570, 266,393.88 and 66,762

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Solution

The fourth proportional to 177,570, 266,393.88 and 66,762 is: 100,157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,570 : 266,393.88 = 66,762 : x
  2. Step 2: Convert to fraction form
    177,570/266,393.88 = 66,762/x
  3. Step 3: Cross multiply
    177,570x = 266,393.88 × 66,762
  4. Step 4: Simplify right side
    177,570x = 17,784,988,216.56
  5. Step 5: Solve for x
    x = 17,784,988,216.56/177,570
  6. Step 6: Final answer
    x = 100,157.62

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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.