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Finding the Fourth Proportional to 114,141.66, 171,100.17 and 66,696.54

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Solution

The fourth proportional to 114,141.66, 171,100.17 and 66,696.54 is: 99,979.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,141.66 : 171,100.17 = 66,696.54 : x
  2. Step 2: Convert to fraction form
    114,141.66/171,100.17 = 66,696.54/x
  3. Step 3: Cross multiply
    114,141.66x = 171,100.17 × 66,696.54
  4. Step 4: Simplify right side
    114,141.66x = 11,411,789,332.41
  5. Step 5: Solve for x
    x = 11,411,789,332.41/114,141.66
  6. Step 6: Final answer
    x = 99,979.18

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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.