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Finding the Fourth Proportional to 269,319, 403,994.70 and 82,332.12

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Solution

The fourth proportional to 269,319, 403,994.70 and 82,332.12 is: 123,503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,319 : 403,994.70 = 82,332.12 : x
  2. Step 2: Convert to fraction form
    269,319/403,994.70 = 82,332.12/x
  3. Step 3: Cross multiply
    269,319x = 403,994.70 × 82,332.12
  4. Step 4: Simplify right side
    269,319x = 33,261,740,119.76
  5. Step 5: Solve for x
    x = 33,261,740,119.76/269,319
  6. Step 6: Final answer
    x = 123,503.13

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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.