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Finding the Fourth Proportional to 178,058.42, 267,123.27 and 65,739.32

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Solution

The fourth proportional to 178,058.42, 267,123.27 and 65,739.32 is: 98,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,058.42 : 267,123.27 = 65,739.32 : x
  2. Step 2: Convert to fraction form
    178,058.42/267,123.27 = 65,739.32/x
  3. Step 3: Cross multiply
    178,058.42x = 267,123.27 × 65,739.32
  4. Step 4: Simplify right side
    178,058.42x = 17,560,502,125.98
  5. Step 5: Solve for x
    x = 17,560,502,125.98/178,058.42
  6. Step 6: Final answer
    x = 98,622.14

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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.