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Finding the Fourth Proportional to 273,881.60, 410,822.40 and 86,893.10

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Solution

The fourth proportional to 273,881.60, 410,822.40 and 86,893.10 is: 130,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,881.60 : 410,822.40 = 86,893.10 : x
  2. Step 2: Convert to fraction form
    273,881.60/410,822.40 = 86,893.10/x
  3. Step 3: Cross multiply
    273,881.60x = 410,822.40 × 86,893.10
  4. Step 4: Simplify right side
    273,881.60x = 35,697,631,885.44
  5. Step 5: Solve for x
    x = 35,697,631,885.44/273,881.60
  6. Step 6: Final answer
    x = 130,339.65

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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.