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Finding the Fourth Proportional to 289,029.47, 398,861.01 and 161,705.16

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Solution

The fourth proportional to 289,029.47, 398,861.01 and 161,705.16 is: 223,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,029.47 : 398,861.01 = 161,705.16 : x
  2. Step 2: Convert to fraction form
    289,029.47/398,861.01 = 161,705.16/x
  3. Step 3: Cross multiply
    289,029.47x = 398,861.01 × 161,705.16
  4. Step 4: Simplify right side
    289,029.47x = 64,497,883,439.81
  5. Step 5: Solve for x
    x = 64,497,883,439.81/289,029.47
  6. Step 6: Final answer
    x = 223,153.32

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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.