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Finding the Fourth Proportional to 104,216, 156,305.92 and 29,318.40

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Solution

The fourth proportional to 104,216, 156,305.92 and 29,318.40 is: 43,972.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,216 : 156,305.92 = 29,318.40 : x
  2. Step 2: Convert to fraction form
    104,216/156,305.92 = 29,318.40/x
  3. Step 3: Cross multiply
    104,216x = 156,305.92 × 29,318.40
  4. Step 4: Simplify right side
    104,216x = 4,582,639,484.93
  5. Step 5: Solve for x
    x = 4,582,639,484.93/104,216
  6. Step 6: Final answer
    x = 43,972.51

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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.