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Finding the Fourth Proportional to 209,378.16, 288,938.88 and 113,885.64

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Solution

The fourth proportional to 209,378.16, 288,938.88 and 113,885.64 is: 157,160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,378.16 : 288,938.88 = 113,885.64 : x
  2. Step 2: Convert to fraction form
    209,378.16/288,938.88 = 113,885.64/x
  3. Step 3: Cross multiply
    209,378.16x = 288,938.88 × 113,885.64
  4. Step 4: Simplify right side
    209,378.16x = 32,905,989,269.68
  5. Step 5: Solve for x
    x = 32,905,989,269.68/209,378.16
  6. Step 6: Final answer
    x = 157,160.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.