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Finding the Fourth Proportional to 142,412.38, 213,665.33 and 58,243.33

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Solution

The fourth proportional to 142,412.38, 213,665.33 and 58,243.33 is: 87,384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,412.38 : 213,665.33 = 58,243.33 : x
  2. Step 2: Convert to fraction form
    142,412.38/213,665.33 = 58,243.33/x
  3. Step 3: Cross multiply
    142,412.38x = 213,665.33 × 58,243.33
  4. Step 4: Simplify right side
    142,412.38x = 12,444,580,324.75
  5. Step 5: Solve for x
    x = 12,444,580,324.75/142,412.38
  6. Step 6: Final answer
    x = 87,384.12

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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.