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Finding the Fourth Proportional to 256,032.20, 384,048.30 and 137,934.20

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Solution

The fourth proportional to 256,032.20, 384,048.30 and 137,934.20 is: 206,901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,032.20 : 384,048.30 = 137,934.20 : x
  2. Step 2: Convert to fraction form
    256,032.20/384,048.30 = 137,934.20/x
  3. Step 3: Cross multiply
    256,032.20x = 384,048.30 × 137,934.20
  4. Step 4: Simplify right side
    256,032.20x = 52,973,395,021.86
  5. Step 5: Solve for x
    x = 52,973,395,021.86/256,032.20
  6. Step 6: Final answer
    x = 206,901.30

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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.