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Finding the Fourth Proportional to 209,794.30, 314,691.75 and 160,156.23

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Solution

The fourth proportional to 209,794.30, 314,691.75 and 160,156.23 is: 240,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,794.30 : 314,691.75 = 160,156.23 : x
  2. Step 2: Convert to fraction form
    209,794.30/314,691.75 = 160,156.23/x
  3. Step 3: Cross multiply
    209,794.30x = 314,691.75 × 160,156.23
  4. Step 4: Simplify right side
    209,794.30x = 50,399,844,292.10
  5. Step 5: Solve for x
    x = 50,399,844,292.10/209,794.30
  6. Step 6: Final answer
    x = 240,234.57

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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.