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Finding the Fourth Proportional to 178,255.53, 267,417.01 and 71,647.79

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Solution

The fourth proportional to 178,255.53, 267,417.01 and 71,647.79 is: 107,485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,255.53 : 267,417.01 = 71,647.79 : x
  2. Step 2: Convert to fraction form
    178,255.53/267,417.01 = 71,647.79/x
  3. Step 3: Cross multiply
    178,255.53x = 267,417.01 × 71,647.79
  4. Step 4: Simplify right side
    178,255.53x = 19,159,837,774.91
  5. Step 5: Solve for x
    x = 19,159,837,774.91/178,255.53
  6. Step 6: Final answer
    x = 107,485.24

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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.