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Finding the Fourth Proportional to 227,857.60, 341,786.40 and 61,645.60

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Solution

The fourth proportional to 227,857.60, 341,786.40 and 61,645.60 is: 92,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,857.60 : 341,786.40 = 61,645.60 : x
  2. Step 2: Convert to fraction form
    227,857.60/341,786.40 = 61,645.60/x
  3. Step 3: Cross multiply
    227,857.60x = 341,786.40 × 61,645.60
  4. Step 4: Simplify right side
    227,857.60x = 21,069,627,699.84
  5. Step 5: Solve for x
    x = 21,069,627,699.84/227,857.60
  6. Step 6: Final answer
    x = 92,468.40

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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.