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Finding the Fourth Proportional to 209,692.05, 314,275.77 and 165,142.86

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Solution

The fourth proportional to 209,692.05, 314,275.77 and 165,142.86 is: 247,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,692.05 : 314,275.77 = 165,142.86 : x
  2. Step 2: Convert to fraction form
    209,692.05/314,275.77 = 165,142.86/x
  3. Step 3: Cross multiply
    209,692.05x = 314,275.77 × 165,142.86
  4. Step 4: Simplify right side
    209,692.05x = 51,900,399,486.50
  5. Step 5: Solve for x
    x = 51,900,399,486.50/209,692.05
  6. Step 6: Final answer
    x = 247,507.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.