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Finding the Fourth Proportional to 209,536.93, 314,334.87 and 67,334.59

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Solution

The fourth proportional to 209,536.93, 314,334.87 and 67,334.59 is: 101,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,536.93 : 314,334.87 = 67,334.59 : x
  2. Step 2: Convert to fraction form
    209,536.93/314,334.87 = 67,334.59/x
  3. Step 3: Cross multiply
    209,536.93x = 314,334.87 × 67,334.59
  4. Step 4: Simplify right side
    209,536.93x = 21,165,609,594.15
  5. Step 5: Solve for x
    x = 21,165,609,594.15/209,536.93
  6. Step 6: Final answer
    x = 101,011.36

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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.