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Finding the Fourth Proportional to 234,971.87, 352,585.41 and 100,013.92

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Solution

The fourth proportional to 234,971.87, 352,585.41 and 100,013.92 is: 150,075.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,971.87 : 352,585.41 = 100,013.92 : x
  2. Step 2: Convert to fraction form
    234,971.87/352,585.41 = 100,013.92/x
  3. Step 3: Cross multiply
    234,971.87x = 352,585.41 × 100,013.92
  4. Step 4: Simplify right side
    234,971.87x = 35,263,447,732.39
  5. Step 5: Solve for x
    x = 35,263,447,732.39/234,971.87
  6. Step 6: Final answer
    x = 150,075.19

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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.