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Finding the Fourth Proportional to 223,957.80, 335,936.70 and 83,698.20

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Solution

The fourth proportional to 223,957.80, 335,936.70 and 83,698.20 is: 125,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,957.80 : 335,936.70 = 83,698.20 : x
  2. Step 2: Convert to fraction form
    223,957.80/335,936.70 = 83,698.20/x
  3. Step 3: Cross multiply
    223,957.80x = 335,936.70 × 83,698.20
  4. Step 4: Simplify right side
    223,957.80x = 28,117,297,103.94
  5. Step 5: Solve for x
    x = 28,117,297,103.94/223,957.80
  6. Step 6: Final answer
    x = 125,547.30

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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.