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Finding the Fourth Proportional to 230,488.28, 345,728.94 and 140,557.40

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Solution

The fourth proportional to 230,488.28, 345,728.94 and 140,557.40 is: 210,833.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,488.28 : 345,728.94 = 140,557.40 : x
  2. Step 2: Convert to fraction form
    230,488.28/345,728.94 = 140,557.40/x
  3. Step 3: Cross multiply
    230,488.28x = 345,728.94 × 140,557.40
  4. Step 4: Simplify right side
    230,488.28x = 48,594,760,911.16
  5. Step 5: Solve for x
    x = 48,594,760,911.16/230,488.28
  6. Step 6: Final answer
    x = 210,833.98

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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.