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Finding the Fourth Proportional to 185,716.79, 278,615.16 and 57,630.53

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Solution

The fourth proportional to 185,716.79, 278,615.16 and 57,630.53 is: 86,458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,716.79 : 278,615.16 = 57,630.53 : x
  2. Step 2: Convert to fraction form
    185,716.79/278,615.16 = 57,630.53/x
  3. Step 3: Cross multiply
    185,716.79x = 278,615.16 × 57,630.53
  4. Step 4: Simplify right side
    185,716.79x = 16,056,739,336.83
  5. Step 5: Solve for x
    x = 16,056,739,336.83/185,716.79
  6. Step 6: Final answer
    x = 86,458.20

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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.