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Finding the Fourth Proportional to 178,562.53, 267,835.14 and 66,264.64

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Solution

The fourth proportional to 178,562.53, 267,835.14 and 66,264.64 is: 99,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,562.53 : 267,835.14 = 66,264.64 : x
  2. Step 2: Convert to fraction form
    178,562.53/267,835.14 = 66,264.64/x
  3. Step 3: Cross multiply
    178,562.53x = 267,835.14 × 66,264.64
  4. Step 4: Simplify right side
    178,562.53x = 17,747,999,131.45
  5. Step 5: Solve for x
    x = 17,747,999,131.45/178,562.53
  6. Step 6: Final answer
    x = 99,393.75

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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.