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Finding the Fourth Proportional to 292,709.03, 439,146.16 and 82,348.79

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Solution

The fourth proportional to 292,709.03, 439,146.16 and 82,348.79 is: 123,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,709.03 : 439,146.16 = 82,348.79 : x
  2. Step 2: Convert to fraction form
    292,709.03/439,146.16 = 82,348.79/x
  3. Step 3: Cross multiply
    292,709.03x = 439,146.16 × 82,348.79
  4. Step 4: Simplify right side
    292,709.03x = 36,163,152,507.54
  5. Step 5: Solve for x
    x = 36,163,152,507.54/292,709.03
  6. Step 6: Final answer
    x = 123,546.42

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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.