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Finding the Fourth Proportional to 256,773.24, 385,251.06 and 114,605.64

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Solution

The fourth proportional to 256,773.24, 385,251.06 and 114,605.64 is: 171,949.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,773.24 : 385,251.06 = 114,605.64 : x
  2. Step 2: Convert to fraction form
    256,773.24/385,251.06 = 114,605.64/x
  3. Step 3: Cross multiply
    256,773.24x = 385,251.06 × 114,605.64
  4. Step 4: Simplify right side
    256,773.24x = 44,151,944,291.98
  5. Step 5: Solve for x
    x = 44,151,944,291.98/256,773.24
  6. Step 6: Final answer
    x = 171,949.17

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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.