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Finding the Fourth Proportional to 273,856.40, 410,827.80 and 86,886.80

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Solution

The fourth proportional to 273,856.40, 410,827.80 and 86,886.80 is: 130,343.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,856.40 : 410,827.80 = 86,886.80 : x
  2. Step 2: Convert to fraction form
    273,856.40/410,827.80 = 86,886.80/x
  3. Step 3: Cross multiply
    273,856.40x = 410,827.80 × 86,886.80
  4. Step 4: Simplify right side
    273,856.40x = 35,695,512,893.04
  5. Step 5: Solve for x
    x = 35,695,512,893.04/273,856.40
  6. Step 6: Final answer
    x = 130,343.91

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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.