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Finding the Fourth Proportional to 209,439.84, 289,134 and 161,585.76

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Solution

The fourth proportional to 209,439.84, 289,134 and 161,585.76 is: 223,070.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,439.84 : 289,134 = 161,585.76 : x
  2. Step 2: Convert to fraction form
    209,439.84/289,134 = 161,585.76/x
  3. Step 3: Cross multiply
    209,439.84x = 289,134 × 161,585.76
  4. Step 4: Simplify right side
    209,439.84x = 46,719,937,131.84
  5. Step 5: Solve for x
    x = 46,719,937,131.84/209,439.84
  6. Step 6: Final answer
    x = 223,070.92

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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.