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Finding the Fourth Proportional to 144,089.64, 198,824.49 and 83,659.59

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Solution

The fourth proportional to 144,089.64, 198,824.49 and 83,659.59 is: 115,439.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,089.64 : 198,824.49 = 83,659.59 : x
  2. Step 2: Convert to fraction form
    144,089.64/198,824.49 = 83,659.59/x
  3. Step 3: Cross multiply
    144,089.64x = 198,824.49 × 83,659.59
  4. Step 4: Simplify right side
    144,089.64x = 16,633,575,315.36
  5. Step 5: Solve for x
    x = 16,633,575,315.36/144,089.64
  6. Step 6: Final answer
    x = 115,439.08

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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.