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Finding the Fourth Proportional to 209,303.12, 313,954.68 and 59,558.96

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Solution

The fourth proportional to 209,303.12, 313,954.68 and 59,558.96 is: 89,338.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,303.12 : 313,954.68 = 59,558.96 : x
  2. Step 2: Convert to fraction form
    209,303.12/313,954.68 = 59,558.96/x
  3. Step 3: Cross multiply
    209,303.12x = 313,954.68 × 59,558.96
  4. Step 4: Simplify right side
    209,303.12x = 18,698,814,227.93
  5. Step 5: Solve for x
    x = 18,698,814,227.93/209,303.12
  6. Step 6: Final answer
    x = 89,338.44

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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.