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Finding the Fourth Proportional to 276,697.75, 415,007.16 and 87,153.20

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Solution

The fourth proportional to 276,697.75, 415,007.16 and 87,153.20 is: 130,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,697.75 : 415,007.16 = 87,153.20 : x
  2. Step 2: Convert to fraction form
    276,697.75/415,007.16 = 87,153.20/x
  3. Step 3: Cross multiply
    276,697.75x = 415,007.16 × 87,153.20
  4. Step 4: Simplify right side
    276,697.75x = 36,169,199,941.88
  5. Step 5: Solve for x
    x = 36,169,199,941.88/276,697.75
  6. Step 6: Final answer
    x = 130,717.36

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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.