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Finding the Fourth Proportional to 273,904.30, 410,856.45 and 86,934.70

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Solution

The fourth proportional to 273,904.30, 410,856.45 and 86,934.70 is: 130,402.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,904.30 : 410,856.45 = 86,934.70 : x
  2. Step 2: Convert to fraction form
    273,904.30/410,856.45 = 86,934.70/x
  3. Step 3: Cross multiply
    273,904.30x = 410,856.45 × 86,934.70
  4. Step 4: Simplify right side
    273,904.30x = 35,717,682,223.82
  5. Step 5: Solve for x
    x = 35,717,682,223.82/273,904.30
  6. Step 6: Final answer
    x = 130,402.05

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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.