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Finding the Fourth Proportional to 185,892.60, 278,847.54 and 61,234.68

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Solution

The fourth proportional to 185,892.60, 278,847.54 and 61,234.68 is: 91,854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,892.60 : 278,847.54 = 61,234.68 : x
  2. Step 2: Convert to fraction form
    185,892.60/278,847.54 = 61,234.68/x
  3. Step 3: Cross multiply
    185,892.60x = 278,847.54 × 61,234.68
  4. Step 4: Simplify right side
    185,892.60x = 17,075,139,880.69
  5. Step 5: Solve for x
    x = 17,075,139,880.69/185,892.60
  6. Step 6: Final answer
    x = 91,854.87

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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.