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Finding the Fourth Proportional to 209,077.94, 313,628.83 and 59,306.51

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Solution

The fourth proportional to 209,077.94, 313,628.83 and 59,306.51 is: 88,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,077.94 : 313,628.83 = 59,306.51 : x
  2. Step 2: Convert to fraction form
    209,077.94/313,628.83 = 59,306.51/x
  3. Step 3: Cross multiply
    209,077.94x = 313,628.83 × 59,306.51
  4. Step 4: Simplify right side
    209,077.94x = 18,600,231,978.49
  5. Step 5: Solve for x
    x = 18,600,231,978.49/209,077.94
  6. Step 6: Final answer
    x = 88,963.15

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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.