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Finding the Fourth Proportional to 178,708.10, 268,159.35 and 73,537.70

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Solution

The fourth proportional to 178,708.10, 268,159.35 and 73,537.70 is: 110,346.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,708.10 : 268,159.35 = 73,537.70 : x
  2. Step 2: Convert to fraction form
    178,708.10/268,159.35 = 73,537.70/x
  3. Step 3: Cross multiply
    178,708.10x = 268,159.35 × 73,537.70
  4. Step 4: Simplify right side
    178,708.10x = 19,719,821,832.50
  5. Step 5: Solve for x
    x = 19,719,821,832.50/178,708.10
  6. Step 6: Final answer
    x = 110,346.55

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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.