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Finding the Fourth Proportional to 305,859.69, 458,794.16 and 106,186.43

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Solution

The fourth proportional to 305,859.69, 458,794.16 and 106,186.43 is: 159,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,859.69 : 458,794.16 = 106,186.43 : x
  2. Step 2: Convert to fraction form
    305,859.69/458,794.16 = 106,186.43/x
  3. Step 3: Cross multiply
    305,859.69x = 458,794.16 × 106,186.43
  4. Step 4: Simplify right side
    305,859.69x = 48,717,711,130.35
  5. Step 5: Solve for x
    x = 48,717,711,130.35/305,859.69
  6. Step 6: Final answer
    x = 159,281.24

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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.