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Finding the Fourth Proportional to 209,319.90, 288,863.50 and 113,828.66

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Solution

The fourth proportional to 209,319.90, 288,863.50 and 113,828.66 is: 157,084.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,319.90 : 288,863.50 = 113,828.66 : x
  2. Step 2: Convert to fraction form
    209,319.90/288,863.50 = 113,828.66/x
  3. Step 3: Cross multiply
    209,319.90x = 288,863.50 × 113,828.66
  4. Step 4: Simplify right side
    209,319.90x = 32,880,945,127.91
  5. Step 5: Solve for x
    x = 32,880,945,127.91/209,319.90
  6. Step 6: Final answer
    x = 157,084.66

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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.