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Finding the Fourth Proportional to 193,521.78, 289,976.49 and 149,256.90

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Solution

The fourth proportional to 193,521.78, 289,976.49 and 149,256.90 is: 223,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,521.78 : 289,976.49 = 149,256.90 : x
  2. Step 2: Convert to fraction form
    193,521.78/289,976.49 = 149,256.90/x
  3. Step 3: Cross multiply
    193,521.78x = 289,976.49 × 149,256.90
  4. Step 4: Simplify right side
    193,521.78x = 43,280,991,970.28
  5. Step 5: Solve for x
    x = 43,280,991,970.28/193,521.78
  6. Step 6: Final answer
    x = 223,649.20

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1.5x scale

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.