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Finding the Fourth Proportional to 144,767.76, 199,785.24 and 81,106.08

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Solution

The fourth proportional to 144,767.76, 199,785.24 and 81,106.08 is: 111,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,767.76 : 199,785.24 = 81,106.08 : x
  2. Step 2: Convert to fraction form
    144,767.76/199,785.24 = 81,106.08/x
  3. Step 3: Cross multiply
    144,767.76x = 199,785.24 × 81,106.08
  4. Step 4: Simplify right side
    144,767.76x = 16,203,797,658.26
  5. Step 5: Solve for x
    x = 16,203,797,658.26/144,767.76
  6. Step 6: Final answer
    x = 111,929.60

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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.