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Finding the Fourth Proportional to 144,239.84, 199,037.56 and 83,809.84

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Solution

The fourth proportional to 144,239.84, 199,037.56 and 83,809.84 is: 115,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,239.84 : 199,037.56 = 83,809.84 : x
  2. Step 2: Convert to fraction form
    144,239.84/199,037.56 = 83,809.84/x
  3. Step 3: Cross multiply
    144,239.84x = 199,037.56 × 83,809.84
  4. Step 4: Simplify right side
    144,239.84x = 16,681,306,057.59
  5. Step 5: Solve for x
    x = 16,681,306,057.59/144,239.84
  6. Step 6: Final answer
    x = 115,649.78

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1.5x scale

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.