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Finding the Fourth Proportional to 178,058.20, 266,741.70 and 165,616.60

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Solution

The fourth proportional to 178,058.20, 266,741.70 and 165,616.60 is: 248,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,058.20 : 266,741.70 = 165,616.60 : x
  2. Step 2: Convert to fraction form
    178,058.20/266,741.70 = 165,616.60/x
  3. Step 3: Cross multiply
    178,058.20x = 266,741.70 × 165,616.60
  4. Step 4: Simplify right side
    178,058.20x = 44,176,853,432.22
  5. Step 5: Solve for x
    x = 44,176,853,432.22/178,058.20
  6. Step 6: Final answer
    x = 248,103.45

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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.