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Finding the Fourth Proportional to 234,180, 323,307.72 and 153,748.44

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Solution

The fourth proportional to 234,180, 323,307.72 and 153,748.44 is: 212,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,180 : 323,307.72 = 153,748.44 : x
  2. Step 2: Convert to fraction form
    234,180/323,307.72 = 153,748.44/x
  3. Step 3: Cross multiply
    234,180x = 323,307.72 × 153,748.44
  4. Step 4: Simplify right side
    234,180x = 49,708,057,589.96
  5. Step 5: Solve for x
    x = 49,708,057,589.96/234,180
  6. Step 6: Final answer
    x = 212,264.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.