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Finding the Fourth Proportional to 213,866.38, 295,102.56 and 123,204.58

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Solution

The fourth proportional to 213,866.38, 295,102.56 and 123,204.58 is: 170,003.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,866.38 : 295,102.56 = 123,204.58 : x
  2. Step 2: Convert to fraction form
    213,866.38/295,102.56 = 123,204.58/x
  3. Step 3: Cross multiply
    213,866.38x = 295,102.56 × 123,204.58
  4. Step 4: Simplify right side
    213,866.38x = 36,357,986,961.72
  5. Step 5: Solve for x
    x = 36,357,986,961.72/213,866.38
  6. Step 6: Final answer
    x = 170,003.28

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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.