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Finding the Fourth Proportional to 83,201.97, 124,802.65 and 38,804.05

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Solution

The fourth proportional to 83,201.97, 124,802.65 and 38,804.05 is: 58,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,201.97 : 124,802.65 = 38,804.05 : x
  2. Step 2: Convert to fraction form
    83,201.97/124,802.65 = 38,804.05/x
  3. Step 3: Cross multiply
    83,201.97x = 124,802.65 × 38,804.05
  4. Step 4: Simplify right side
    83,201.97x = 4,842,848,270.73
  5. Step 5: Solve for x
    x = 4,842,848,270.73/83,201.97
  6. Step 6: Final answer
    x = 58,205.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.