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Finding the Fourth Proportional to 159,148.17, 238,722.32 and 40,819.50

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Solution

The fourth proportional to 159,148.17, 238,722.32 and 40,819.50 is: 61,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,148.17 : 238,722.32 = 40,819.50 : x
  2. Step 2: Convert to fraction form
    159,148.17/238,722.32 = 40,819.50/x
  3. Step 3: Cross multiply
    159,148.17x = 238,722.32 × 40,819.50
  4. Step 4: Simplify right side
    159,148.17x = 9,744,525,537.14
  5. Step 5: Solve for x
    x = 9,744,525,537.14/159,148.17
  6. Step 6: Final answer
    x = 61,229.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.