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Finding the Fourth Proportional to 256,026.38, 384,039.14 and 106,166.66

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Solution

The fourth proportional to 256,026.38, 384,039.14 and 106,166.66 is: 159,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,026.38 : 384,039.14 = 106,166.66 : x
  2. Step 2: Convert to fraction form
    256,026.38/384,039.14 = 106,166.66/x
  3. Step 3: Cross multiply
    256,026.38x = 384,039.14 × 106,166.66
  4. Step 4: Simplify right side
    256,026.38x = 40,772,152,803.07
  5. Step 5: Solve for x
    x = 40,772,152,803.07/256,026.38
  6. Step 6: Final answer
    x = 159,249.81

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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.