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Finding the Fourth Proportional to 209,777.44, 314,549.52 and 69,459.52

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Solution

The fourth proportional to 209,777.44, 314,549.52 and 69,459.52 is: 104,150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,777.44 : 314,549.52 = 69,459.52 : x
  2. Step 2: Convert to fraction form
    209,777.44/314,549.52 = 69,459.52/x
  3. Step 3: Cross multiply
    209,777.44x = 314,549.52 × 69,459.52
  4. Step 4: Simplify right side
    209,777.44x = 21,848,458,675.43
  5. Step 5: Solve for x
    x = 21,848,458,675.43/209,777.44
  6. Step 6: Final answer
    x = 104,150.66

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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.