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Finding the Fourth Proportional to 169,397.33, 253,964.77 and 98,210.48

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Solution

The fourth proportional to 169,397.33, 253,964.77 and 98,210.48 is: 147,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,397.33 : 253,964.77 = 98,210.48 : x
  2. Step 2: Convert to fraction form
    169,397.33/253,964.77 = 98,210.48/x
  3. Step 3: Cross multiply
    169,397.33x = 253,964.77 × 98,210.48
  4. Step 4: Simplify right side
    169,397.33x = 24,942,000,449.44
  5. Step 5: Solve for x
    x = 24,942,000,449.44/169,397.33
  6. Step 6: Final answer
    x = 147,239.64

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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.