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Finding the Fourth Proportional to 142,216, 213,358.56 and 43,720

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Solution

The fourth proportional to 142,216, 213,358.56 and 43,720 is: 65,590.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,216 : 213,358.56 = 43,720 : x
  2. Step 2: Convert to fraction form
    142,216/213,358.56 = 43,720/x
  3. Step 3: Cross multiply
    142,216x = 213,358.56 × 43,720
  4. Step 4: Simplify right side
    142,216x = 9,328,036,243.20
  5. Step 5: Solve for x
    x = 9,328,036,243.20/142,216
  6. Step 6: Final answer
    x = 65,590.62

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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.