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Finding the Fourth Proportional to 256,026.88, 384,039.89 and 106,167.16

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Solution

The fourth proportional to 256,026.88, 384,039.89 and 106,167.16 is: 159,250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,026.88 : 384,039.89 = 106,167.16 : x
  2. Step 2: Convert to fraction form
    256,026.88/384,039.89 = 106,167.16/x
  3. Step 3: Cross multiply
    256,026.88x = 384,039.89 × 106,167.16
  4. Step 4: Simplify right side
    256,026.88x = 40,772,424,448.01
  5. Step 5: Solve for x
    x = 40,772,424,448.01/256,026.88
  6. Step 6: Final answer
    x = 159,250.56

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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.