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Finding the Fourth Proportional to 191,012.20, 285,935.10 and 149,021.80

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Solution

The fourth proportional to 191,012.20, 285,935.10 and 149,021.80 is: 223,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,012.20 : 285,935.10 = 149,021.80 : x
  2. Step 2: Convert to fraction form
    191,012.20/285,935.10 = 149,021.80/x
  3. Step 3: Cross multiply
    191,012.20x = 285,935.10 × 149,021.80
  4. Step 4: Simplify right side
    191,012.20x = 42,610,563,285.18
  5. Step 5: Solve for x
    x = 42,610,563,285.18/191,012.20
  6. Step 6: Final answer
    x = 223,077.71

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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.