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Finding the Fourth Proportional to 230,922.80, 346,384.20 and 204,678.80

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Solution

The fourth proportional to 230,922.80, 346,384.20 and 204,678.80 is: 307,018.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,922.80 : 346,384.20 = 204,678.80 : x
  2. Step 2: Convert to fraction form
    230,922.80/346,384.20 = 204,678.80/x
  3. Step 3: Cross multiply
    230,922.80x = 346,384.20 × 204,678.80
  4. Step 4: Simplify right side
    230,922.80x = 70,897,502,394.96
  5. Step 5: Solve for x
    x = 70,897,502,394.96/230,922.80
  6. Step 6: Final answer
    x = 307,018.20

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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.