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Finding the Fourth Proportional to 256,024.38, 384,036.14 and 106,164.66

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Solution

The fourth proportional to 256,024.38, 384,036.14 and 106,164.66 is: 159,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,024.38 : 384,036.14 = 106,164.66 : x
  2. Step 2: Convert to fraction form
    256,024.38/384,036.14 = 106,164.66/x
  3. Step 3: Cross multiply
    256,024.38x = 384,036.14 × 106,164.66
  4. Step 4: Simplify right side
    256,024.38x = 40,771,066,230.81
  5. Step 5: Solve for x
    x = 40,771,066,230.81/256,024.38
  6. Step 6: Final answer
    x = 159,246.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.