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Finding the Fourth Proportional to 273,239.17, 409,886.08 and 83,697.35

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Solution

The fourth proportional to 273,239.17, 409,886.08 and 83,697.35 is: 125,554.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,239.17 : 409,886.08 = 83,697.35 : x
  2. Step 2: Convert to fraction form
    273,239.17/409,886.08 = 83,697.35/x
  3. Step 3: Cross multiply
    273,239.17x = 409,886.08 × 83,697.35
  4. Step 4: Simplify right side
    273,239.17x = 34,306,376,648.46
  5. Step 5: Solve for x
    x = 34,306,376,648.46/273,239.17
  6. Step 6: Final answer
    x = 125,554.39

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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.