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Finding the Fourth Proportional to 218,968.38, 302,258.25 and 170,474.22

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Solution

The fourth proportional to 218,968.38, 302,258.25 and 170,474.22 is: 235,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,968.38 : 302,258.25 = 170,474.22 : x
  2. Step 2: Convert to fraction form
    218,968.38/302,258.25 = 170,474.22/x
  3. Step 3: Cross multiply
    218,968.38x = 302,258.25 × 170,474.22
  4. Step 4: Simplify right side
    218,968.38x = 51,527,239,407.32
  5. Step 5: Solve for x
    x = 51,527,239,407.32/218,968.38
  6. Step 6: Final answer
    x = 235,318.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.