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Finding the Fourth Proportional to 309,159.10, 463,726.47 and 109,471.42

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Solution

The fourth proportional to 309,159.10, 463,726.47 and 109,471.42 is: 164,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,159.10 : 463,726.47 = 109,471.42 : x
  2. Step 2: Convert to fraction form
    309,159.10/463,726.47 = 109,471.42/x
  3. Step 3: Cross multiply
    309,159.10x = 463,726.47 × 109,471.42
  4. Step 4: Simplify right side
    309,159.10x = 50,764,795,162.49
  5. Step 5: Solve for x
    x = 50,764,795,162.49/309,159.10
  6. Step 6: Final answer
    x = 164,202.82

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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.