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Finding the Fourth Proportional to 234,878.87, 351,864.81 and 140,184.65

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Solution

The fourth proportional to 234,878.87, 351,864.81 and 140,184.65 is: 210,006.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,878.87 : 351,864.81 = 140,184.65 : x
  2. Step 2: Convert to fraction form
    234,878.87/351,864.81 = 140,184.65/x
  3. Step 3: Cross multiply
    234,878.87x = 351,864.81 × 140,184.65
  4. Step 4: Simplify right side
    234,878.87x = 49,326,043,477.84
  5. Step 5: Solve for x
    x = 49,326,043,477.84/234,878.87
  6. Step 6: Final answer
    x = 210,006.31

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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.