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Finding the Fourth Proportional to 174,031.78, 260,651.19 and 103,766.02

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Solution

The fourth proportional to 174,031.78, 260,651.19 and 103,766.02 is: 155,412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,031.78 : 260,651.19 = 103,766.02 : x
  2. Step 2: Convert to fraction form
    174,031.78/260,651.19 = 103,766.02/x
  3. Step 3: Cross multiply
    174,031.78x = 260,651.19 × 103,766.02
  4. Step 4: Simplify right side
    174,031.78x = 27,046,736,594.56
  5. Step 5: Solve for x
    x = 27,046,736,594.56/174,031.78
  6. Step 6: Final answer
    x = 155,412.63

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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.