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Finding the Fourth Proportional to 282,642.24, 390,024 and 161,785.92

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Solution

The fourth proportional to 282,642.24, 390,024 and 161,785.92 is: 223,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,642.24 : 390,024 = 161,785.92 : x
  2. Step 2: Convert to fraction form
    282,642.24/390,024 = 161,785.92/x
  3. Step 3: Cross multiply
    282,642.24x = 390,024 × 161,785.92
  4. Step 4: Simplify right side
    282,642.24x = 63,100,391,662.08
  5. Step 5: Solve for x
    x = 63,100,391,662.08/282,642.24
  6. Step 6: Final answer
    x = 223,251.81

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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.