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Finding the Fourth Proportional to 209,357.84, 313,989.60 and 59,594.82

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Solution

The fourth proportional to 209,357.84, 313,989.60 and 59,594.82 is: 89,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,357.84 : 313,989.60 = 59,594.82 : x
  2. Step 2: Convert to fraction form
    209,357.84/313,989.60 = 59,594.82/x
  3. Step 3: Cross multiply
    209,357.84x = 313,989.60 × 59,594.82
  4. Step 4: Simplify right side
    209,357.84x = 18,712,153,693.87
  5. Step 5: Solve for x
    x = 18,712,153,693.87/209,357.84
  6. Step 6: Final answer
    x = 89,378.81

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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.