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Finding the Fourth Proportional to 230,908.80, 346,363.20 and 151,192.65

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Solution

The fourth proportional to 230,908.80, 346,363.20 and 151,192.65 is: 226,788.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,908.80 : 346,363.20 = 151,192.65 : x
  2. Step 2: Convert to fraction form
    230,908.80/346,363.20 = 151,192.65/x
  3. Step 3: Cross multiply
    230,908.80x = 346,363.20 × 151,192.65
  4. Step 4: Simplify right side
    230,908.80x = 52,367,570,070.48
  5. Step 5: Solve for x
    x = 52,367,570,070.48/230,908.80
  6. Step 6: Final answer
    x = 226,788.98

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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.