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Finding the Fourth Proportional to 209,568.84, 314,353.36 and 69,327.46

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Solution

The fourth proportional to 209,568.84, 314,353.36 and 69,327.46 is: 103,991.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,568.84 : 314,353.36 = 69,327.46 : x
  2. Step 2: Convert to fraction form
    209,568.84/314,353.36 = 69,327.46/x
  3. Step 3: Cross multiply
    209,568.84x = 314,353.36 × 69,327.46
  4. Step 4: Simplify right side
    209,568.84x = 21,793,319,817.95
  5. Step 5: Solve for x
    x = 21,793,319,817.95/209,568.84
  6. Step 6: Final answer
    x = 103,991.22

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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.