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Finding the Fourth Proportional to 230,898.40, 346,566.30 and 142,324.90

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Solution

The fourth proportional to 230,898.40, 346,566.30 and 142,324.90 is: 213,622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,898.40 : 346,566.30 = 142,324.90 : x
  2. Step 2: Convert to fraction form
    230,898.40/346,566.30 = 142,324.90/x
  3. Step 3: Cross multiply
    230,898.40x = 346,566.30 × 142,324.90
  4. Step 4: Simplify right side
    230,898.40x = 49,325,013,990.87
  5. Step 5: Solve for x
    x = 49,325,013,990.87/230,898.40
  6. Step 6: Final answer
    x = 213,622.16

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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.