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Finding the Fourth Proportional to 144,482.49, 199,400.82 and 83,230.80

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Solution

The fourth proportional to 144,482.49, 199,400.82 and 83,230.80 is: 114,867.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,482.49 : 199,400.82 = 83,230.80 : x
  2. Step 2: Convert to fraction form
    144,482.49/199,400.82 = 83,230.80/x
  3. Step 3: Cross multiply
    144,482.49x = 199,400.82 × 83,230.80
  4. Step 4: Simplify right side
    144,482.49x = 16,596,289,769.26
  5. Step 5: Solve for x
    x = 16,596,289,769.26/144,482.49
  6. Step 6: Final answer
    x = 114,867.14

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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.