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Finding the Fourth Proportional to 144,448.65, 199,349.78 and 83,205.50

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Solution

The fourth proportional to 144,448.65, 199,349.78 and 83,205.50 is: 114,829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,448.65 : 199,349.78 = 83,205.50 : x
  2. Step 2: Convert to fraction form
    144,448.65/199,349.78 = 83,205.50/x
  3. Step 3: Cross multiply
    144,448.65x = 199,349.78 × 83,205.50
  4. Step 4: Simplify right side
    144,448.65x = 16,586,996,707.01
  5. Step 5: Solve for x
    x = 16,586,996,707.01/144,448.65
  6. Step 6: Final answer
    x = 114,829.71

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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.