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Finding the Fourth Proportional to 239,410.20, 358,424.10 and 146,098.20

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Solution

The fourth proportional to 239,410.20, 358,424.10 and 146,098.20 is: 218,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,410.20 : 358,424.10 = 146,098.20 : x
  2. Step 2: Convert to fraction form
    239,410.20/358,424.10 = 146,098.20/x
  3. Step 3: Cross multiply
    239,410.20x = 358,424.10 × 146,098.20
  4. Step 4: Simplify right side
    239,410.20x = 52,365,115,846.62
  5. Step 5: Solve for x
    x = 52,365,115,846.62/239,410.20
  6. Step 6: Final answer
    x = 218,725.50

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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.