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Finding the Fourth Proportional to 230,939.40, 346,409.10 and 205,134.60

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Solution

The fourth proportional to 230,939.40, 346,409.10 and 205,134.60 is: 307,701.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,939.40 : 346,409.10 = 205,134.60 : x
  2. Step 2: Convert to fraction form
    230,939.40/346,409.10 = 205,134.60/x
  3. Step 3: Cross multiply
    230,939.40x = 346,409.10 × 205,134.60
  4. Step 4: Simplify right side
    230,939.40x = 71,060,492,164.86
  5. Step 5: Solve for x
    x = 71,060,492,164.86/230,939.40
  6. Step 6: Final answer
    x = 307,701.90

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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.