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Finding the Fourth Proportional to 235,039.56, 352,484.46 and 77,231.40

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Solution

The fourth proportional to 235,039.56, 352,484.46 and 77,231.40 is: 115,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,039.56 : 352,484.46 = 77,231.40 : x
  2. Step 2: Convert to fraction form
    235,039.56/352,484.46 = 77,231.40/x
  3. Step 3: Cross multiply
    235,039.56x = 352,484.46 × 77,231.40
  4. Step 4: Simplify right side
    235,039.56x = 27,222,868,324.04
  5. Step 5: Solve for x
    x = 27,222,868,324.04/235,039.56
  6. Step 6: Final answer
    x = 115,822.50

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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.