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Finding the Fourth Proportional to 209,530.78, 314,344.96 and 59,773.12

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Solution

The fourth proportional to 209,530.78, 314,344.96 and 59,773.12 is: 89,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,530.78 : 314,344.96 = 59,773.12 : x
  2. Step 2: Convert to fraction form
    209,530.78/314,344.96 = 59,773.12/x
  3. Step 3: Cross multiply
    209,530.78x = 314,344.96 × 59,773.12
  4. Step 4: Simplify right side
    209,530.78x = 18,789,379,015.48
  5. Step 5: Solve for x
    x = 18,789,379,015.48/209,530.78
  6. Step 6: Final answer
    x = 89,673.60

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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.