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Finding the Fourth Proportional to 204,807.71, 282,644.22 and 114,164.33

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Solution

The fourth proportional to 204,807.71, 282,644.22 and 114,164.33 is: 157,552.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,807.71 : 282,644.22 = 114,164.33 : x
  2. Step 2: Convert to fraction form
    204,807.71/282,644.22 = 114,164.33/x
  3. Step 3: Cross multiply
    204,807.71x = 282,644.22 × 114,164.33
  4. Step 4: Simplify right side
    204,807.71x = 32,267,886,591.45
  5. Step 5: Solve for x
    x = 32,267,886,591.45/204,807.71
  6. Step 6: Final answer
    x = 157,552.11

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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.