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Finding the Fourth Proportional to 83,199.44, 114,866.10 and 54,155.48

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Solution

The fourth proportional to 83,199.44, 114,866.10 and 54,155.48 is: 74,767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,199.44 : 114,866.10 = 54,155.48 : x
  2. Step 2: Convert to fraction form
    83,199.44/114,866.10 = 54,155.48/x
  3. Step 3: Cross multiply
    83,199.44x = 114,866.10 × 54,155.48
  4. Step 4: Simplify right side
    83,199.44x = 6,220,628,781.23
  5. Step 5: Solve for x
    x = 6,220,628,781.23/83,199.44
  6. Step 6: Final answer
    x = 74,767.68

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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.