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Finding the Fourth Proportional to 114,838.12, 172,007.84 and 55,549.48

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Solution

The fourth proportional to 114,838.12, 172,007.84 and 55,549.48 is: 83,203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,838.12 : 172,007.84 = 55,549.48 : x
  2. Step 2: Convert to fraction form
    114,838.12/172,007.84 = 55,549.48/x
  3. Step 3: Cross multiply
    114,838.12x = 172,007.84 × 55,549.48
  4. Step 4: Simplify right side
    114,838.12x = 9,554,946,067.92
  5. Step 5: Solve for x
    x = 9,554,946,067.92/114,838.12
  6. Step 6: Final answer
    x = 83,203.61

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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.