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Finding the Fourth Proportional to 159,280.36, 238,974.86 and 100,046.68

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Solution

The fourth proportional to 159,280.36, 238,974.86 and 100,046.68 is: 150,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,280.36 : 238,974.86 = 100,046.68 : x
  2. Step 2: Convert to fraction form
    159,280.36/238,974.86 = 100,046.68/x
  3. Step 3: Cross multiply
    159,280.36x = 238,974.86 × 100,046.68
  4. Step 4: Simplify right side
    159,280.36x = 23,908,641,346.46
  5. Step 5: Solve for x
    x = 23,908,641,346.46/159,280.36
  6. Step 6: Final answer
    x = 150,104.14

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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.