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Finding the Fourth Proportional to 235,362.38, 352,844.55 and 102,142.49

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Solution

The fourth proportional to 235,362.38, 352,844.55 and 102,142.49 is: 153,127.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,362.38 : 352,844.55 = 102,142.49 : x
  2. Step 2: Convert to fraction form
    235,362.38/352,844.55 = 102,142.49/x
  3. Step 3: Cross multiply
    235,362.38x = 352,844.55 × 102,142.49
  4. Step 4: Simplify right side
    235,362.38x = 36,040,419,155.71
  5. Step 5: Solve for x
    x = 36,040,419,155.71/235,362.38
  6. Step 6: Final answer
    x = 153,127.36

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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.