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Finding the Fourth Proportional to 144,706.56, 199,696.56 and 80,177.77

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Solution

The fourth proportional to 144,706.56, 199,696.56 and 80,177.77 is: 110,646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,706.56 : 199,696.56 = 80,177.77 : x
  2. Step 2: Convert to fraction form
    144,706.56/199,696.56 = 80,177.77/x
  3. Step 3: Cross multiply
    144,706.56x = 199,696.56 × 80,177.77
  4. Step 4: Simplify right side
    144,706.56x = 16,011,224,857.47
  5. Step 5: Solve for x
    x = 16,011,224,857.47/144,706.56
  6. Step 6: Final answer
    x = 110,646.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.