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Finding the Fourth Proportional to 276,874.56, 382,094.83 and 156,009.20

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Solution

The fourth proportional to 276,874.56, 382,094.83 and 156,009.20 is: 215,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,874.56 : 382,094.83 = 156,009.20 : x
  2. Step 2: Convert to fraction form
    276,874.56/382,094.83 = 156,009.20/x
  3. Step 3: Cross multiply
    276,874.56x = 382,094.83 × 156,009.20
  4. Step 4: Simplify right side
    276,874.56x = 59,610,306,061.92
  5. Step 5: Solve for x
    x = 59,610,306,061.92/276,874.56
  6. Step 6: Final answer
    x = 215,297.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.