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Finding the Fourth Proportional to 229,384.13, 316,440.24 and 161,438.81

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Solution

The fourth proportional to 229,384.13, 316,440.24 and 161,438.81 is: 222,708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,384.13 : 316,440.24 = 161,438.81 : x
  2. Step 2: Convert to fraction form
    229,384.13/316,440.24 = 161,438.81/x
  3. Step 3: Cross multiply
    229,384.13x = 316,440.24 × 161,438.81
  4. Step 4: Simplify right side
    229,384.13x = 51,085,735,781.71
  5. Step 5: Solve for x
    x = 51,085,735,781.71/229,384.13
  6. Step 6: Final answer
    x = 222,708.24

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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.