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Finding the Fourth Proportional to 170,798.40, 256,209.85 and 49,213.96

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Solution

The fourth proportional to 170,798.40, 256,209.85 and 49,213.96 is: 73,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,798.40 : 256,209.85 = 49,213.96 : x
  2. Step 2: Convert to fraction form
    170,798.40/256,209.85 = 49,213.96/x
  3. Step 3: Cross multiply
    170,798.40x = 256,209.85 × 49,213.96
  4. Step 4: Simplify right side
    170,798.40x = 12,609,101,309.51
  5. Step 5: Solve for x
    x = 12,609,101,309.51/170,798.40
  6. Step 6: Final answer
    x = 73,824.47

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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.