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Finding the Fourth Proportional to 305,859.19, 458,793.41 and 106,185.93

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Solution

The fourth proportional to 305,859.19, 458,793.41 and 106,185.93 is: 159,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,859.19 : 458,793.41 = 106,185.93 : x
  2. Step 2: Convert to fraction form
    305,859.19/458,793.41 = 106,185.93/x
  3. Step 3: Cross multiply
    305,859.19x = 458,793.41 × 106,185.93
  4. Step 4: Simplify right side
    305,859.19x = 48,717,404,918.72
  5. Step 5: Solve for x
    x = 48,717,404,918.72/305,859.19
  6. Step 6: Final answer
    x = 159,280.50

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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.