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Finding the Fourth Proportional to 159,099.95, 238,714.65 and 102,237.62

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Solution

The fourth proportional to 159,099.95, 238,714.65 and 102,237.62 is: 153,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,099.95 : 238,714.65 = 102,237.62 : x
  2. Step 2: Convert to fraction form
    159,099.95/238,714.65 = 102,237.62/x
  3. Step 3: Cross multiply
    159,099.95x = 238,714.65 × 102,237.62
  4. Step 4: Simplify right side
    159,099.95x = 24,405,616,481.56
  5. Step 5: Solve for x
    x = 24,405,616,481.56/159,099.95
  6. Step 6: Final answer
    x = 153,398.02

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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.