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Finding the Fourth Proportional to 295,285.14, 407,487.81 and 161,150.10

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Solution

The fourth proportional to 295,285.14, 407,487.81 and 161,150.10 is: 222,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,285.14 : 407,487.81 = 161,150.10 : x
  2. Step 2: Convert to fraction form
    295,285.14/407,487.81 = 161,150.10/x
  3. Step 3: Cross multiply
    295,285.14x = 407,487.81 × 161,150.10
  4. Step 4: Simplify right side
    295,285.14x = 65,666,701,330.28
  5. Step 5: Solve for x
    x = 65,666,701,330.28/295,285.14
  6. Step 6: Final answer
    x = 222,384.04

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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.