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Finding the Fourth Proportional to 247,141.76, 370,774.92 and 114,115.28

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Solution

The fourth proportional to 247,141.76, 370,774.92 and 114,115.28 is: 171,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,141.76 : 370,774.92 = 114,115.28 : x
  2. Step 2: Convert to fraction form
    247,141.76/370,774.92 = 114,115.28/x
  3. Step 3: Cross multiply
    247,141.76x = 370,774.92 × 114,115.28
  4. Step 4: Simplify right side
    247,141.76x = 42,311,083,812.78
  5. Step 5: Solve for x
    x = 42,311,083,812.78/247,141.76
  6. Step 6: Final answer
    x = 171,201.68

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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.