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Finding the Fourth Proportional to 178,642.02, 267,992.18 and 66,322.56

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Solution

The fourth proportional to 178,642.02, 267,992.18 and 66,322.56 is: 99,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,642.02 : 267,992.18 = 66,322.56 : x
  2. Step 2: Convert to fraction form
    178,642.02/267,992.18 = 66,322.56/x
  3. Step 3: Cross multiply
    178,642.02x = 267,992.18 × 66,322.56
  4. Step 4: Simplify right side
    178,642.02x = 17,773,926,263.43
  5. Step 5: Solve for x
    x = 17,773,926,263.43/178,642.02
  6. Step 6: Final answer
    x = 99,494.66

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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.