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Finding the Fourth Proportional to 260,698.60, 390,977.28 and 92,196.63

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Solution

The fourth proportional to 260,698.60, 390,977.28 and 92,196.63 is: 138,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,698.60 : 390,977.28 = 92,196.63 : x
  2. Step 2: Convert to fraction form
    260,698.60/390,977.28 = 92,196.63/x
  3. Step 3: Cross multiply
    260,698.60x = 390,977.28 × 92,196.63
  4. Step 4: Simplify right side
    260,698.60x = 36,046,787,622.57
  5. Step 5: Solve for x
    x = 36,046,787,622.57/260,698.60
  6. Step 6: Final answer
    x = 138,269.97

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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.