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Finding the Fourth Proportional to 200,744.90, 301,117.35 and 82,501.10

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Solution

The fourth proportional to 200,744.90, 301,117.35 and 82,501.10 is: 123,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,744.90 : 301,117.35 = 82,501.10 : x
  2. Step 2: Convert to fraction form
    200,744.90/301,117.35 = 82,501.10/x
  3. Step 3: Cross multiply
    200,744.90x = 301,117.35 × 82,501.10
  4. Step 4: Simplify right side
    200,744.90x = 24,842,512,604.09
  5. Step 5: Solve for x
    x = 24,842,512,604.09/200,744.90
  6. Step 6: Final answer
    x = 123,751.65

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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.