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Finding the Fourth Proportional to 115,957.77, 173,939.48 and 65,678.64

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Solution

The fourth proportional to 115,957.77, 173,939.48 and 65,678.64 is: 98,519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,957.77 : 173,939.48 = 65,678.64 : x
  2. Step 2: Convert to fraction form
    115,957.77/173,939.48 = 65,678.64/x
  3. Step 3: Cross multiply
    115,957.77x = 173,939.48 × 65,678.64
  4. Step 4: Simplify right side
    115,957.77x = 11,424,108,488.71
  5. Step 5: Solve for x
    x = 11,424,108,488.71/115,957.77
  6. Step 6: Final answer
    x = 98,519.56

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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.