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Finding the Fourth Proportional to 209,792.80, 314,689.50 and 160,154.73

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Solution

The fourth proportional to 209,792.80, 314,689.50 and 160,154.73 is: 240,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,792.80 : 314,689.50 = 160,154.73 : x
  2. Step 2: Convert to fraction form
    209,792.80/314,689.50 = 160,154.73/x
  3. Step 3: Cross multiply
    209,792.80x = 314,689.50 × 160,154.73
  4. Step 4: Simplify right side
    209,792.80x = 50,399,011,906.34
  5. Step 5: Solve for x
    x = 50,399,011,906.34/209,792.80
  6. Step 6: Final answer
    x = 240,232.32

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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.