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Finding the Fourth Proportional to 207,908.48, 311,843.28 and 58,162.16

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Solution

The fourth proportional to 207,908.48, 311,843.28 and 58,162.16 is: 87,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,908.48 : 311,843.28 = 58,162.16 : x
  2. Step 2: Convert to fraction form
    207,908.48/311,843.28 = 58,162.16/x
  3. Step 3: Cross multiply
    207,908.48x = 311,843.28 × 58,162.16
  4. Step 4: Simplify right side
    207,908.48x = 18,137,478,746.28
  5. Step 5: Solve for x
    x = 18,137,478,746.28/207,908.48
  6. Step 6: Final answer
    x = 87,237.80

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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.