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Finding the Fourth Proportional to 230,264.38, 344,896.62 and 111,686.50

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Solution

The fourth proportional to 230,264.38, 344,896.62 and 111,686.50 is: 167,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,264.38 : 344,896.62 = 111,686.50 : x
  2. Step 2: Convert to fraction form
    230,264.38/344,896.62 = 111,686.50/x
  3. Step 3: Cross multiply
    230,264.38x = 344,896.62 × 111,686.50
  4. Step 4: Simplify right side
    230,264.38x = 38,520,296,349.63
  5. Step 5: Solve for x
    x = 38,520,296,349.63/230,264.38
  6. Step 6: Final answer
    x = 167,287.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.