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Finding the Fourth Proportional to 312,738.32, 469,165.16 and 102,387.92

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Solution

The fourth proportional to 312,738.32, 469,165.16 and 102,387.92 is: 153,600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,738.32 : 469,165.16 = 102,387.92 : x
  2. Step 2: Convert to fraction form
    312,738.32/469,165.16 = 102,387.92/x
  3. Step 3: Cross multiply
    312,738.32x = 469,165.16 × 102,387.92
  4. Step 4: Simplify right side
    312,738.32x = 48,036,844,868.87
  5. Step 5: Solve for x
    x = 48,036,844,868.87/312,738.32
  6. Step 6: Final answer
    x = 153,600.76

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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.