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Finding the Fourth Proportional to 195,764.50, 293,646.75 and 84,956.50

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Solution

The fourth proportional to 195,764.50, 293,646.75 and 84,956.50 is: 127,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,764.50 : 293,646.75 = 84,956.50 : x
  2. Step 2: Convert to fraction form
    195,764.50/293,646.75 = 84,956.50/x
  3. Step 3: Cross multiply
    195,764.50x = 293,646.75 × 84,956.50
  4. Step 4: Simplify right side
    195,764.50x = 24,947,200,116.38
  5. Step 5: Solve for x
    x = 24,947,200,116.38/195,764.50
  6. Step 6: Final answer
    x = 127,434.75

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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.