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Finding the Fourth Proportional to 274,641.12, 412,003.80 and 116,827.20

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Solution

The fourth proportional to 274,641.12, 412,003.80 and 116,827.20 is: 175,258.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,641.12 : 412,003.80 = 116,827.20 : x
  2. Step 2: Convert to fraction form
    274,641.12/412,003.80 = 116,827.20/x
  3. Step 3: Cross multiply
    274,641.12x = 412,003.80 × 116,827.20
  4. Step 4: Simplify right side
    274,641.12x = 48,133,250,343.36
  5. Step 5: Solve for x
    x = 48,133,250,343.36/274,641.12
  6. Step 6: Final answer
    x = 175,258.72

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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.