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Finding the Fourth Proportional to 202,870.98, 304,334.16 and 84,514.64

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Solution

The fourth proportional to 202,870.98, 304,334.16 and 84,514.64 is: 126,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,870.98 : 304,334.16 = 84,514.64 : x
  2. Step 2: Convert to fraction form
    202,870.98/304,334.16 = 84,514.64/x
  3. Step 3: Cross multiply
    202,870.98x = 304,334.16 × 84,514.64
  4. Step 4: Simplify right side
    202,870.98x = 25,720,692,320.78
  5. Step 5: Solve for x
    x = 25,720,692,320.78/202,870.98
  6. Step 6: Final answer
    x = 126,783.50

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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.