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Finding the Fourth Proportional to 256,395.10, 353,710.32 and 148,906.90

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Solution

The fourth proportional to 256,395.10, 353,710.32 and 148,906.90 is: 205,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,395.10 : 353,710.32 = 148,906.90 : x
  2. Step 2: Convert to fraction form
    256,395.10/353,710.32 = 148,906.90/x
  3. Step 3: Cross multiply
    256,395.10x = 353,710.32 × 148,906.90
  4. Step 4: Simplify right side
    256,395.10x = 52,669,907,249.21
  5. Step 5: Solve for x
    x = 52,669,907,249.21/256,395.10
  6. Step 6: Final answer
    x = 205,424.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.