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Finding the Fourth Proportional to 209,476.44, 314,298 and 76,365.72

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Solution

The fourth proportional to 209,476.44, 314,298 and 76,365.72 is: 114,578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,476.44 : 314,298 = 76,365.72 : x
  2. Step 2: Convert to fraction form
    209,476.44/314,298 = 76,365.72/x
  3. Step 3: Cross multiply
    209,476.44x = 314,298 × 76,365.72
  4. Step 4: Simplify right side
    209,476.44x = 24,001,593,064.56
  5. Step 5: Solve for x
    x = 24,001,593,064.56/209,476.44
  6. Step 6: Final answer
    x = 114,578.96

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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.