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Finding the Fourth Proportional to 178,972.40, 268,452.41 and 45,853.96

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Solution

The fourth proportional to 178,972.40, 268,452.41 and 45,853.96 is: 68,779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,972.40 : 268,452.41 = 45,853.96 : x
  2. Step 2: Convert to fraction form
    178,972.40/268,452.41 = 45,853.96/x
  3. Step 3: Cross multiply
    178,972.40x = 268,452.41 × 45,853.96
  4. Step 4: Simplify right side
    178,972.40x = 12,309,606,070.04
  5. Step 5: Solve for x
    x = 12,309,606,070.04/178,972.40
  6. Step 6: Final answer
    x = 68,779.35

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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.