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Finding the Fourth Proportional to 114,143.16, 171,102.42 and 66,698.04

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Solution

The fourth proportional to 114,143.16, 171,102.42 and 66,698.04 is: 99,981.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,143.16 : 171,102.42 = 66,698.04 : x
  2. Step 2: Convert to fraction form
    114,143.16/171,102.42 = 66,698.04/x
  3. Step 3: Cross multiply
    114,143.16x = 171,102.42 × 66,698.04
  4. Step 4: Simplify right side
    114,143.16x = 11,412,196,053.26
  5. Step 5: Solve for x
    x = 11,412,196,053.26/114,143.16
  6. Step 6: Final answer
    x = 99,981.43

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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.