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Finding the Fourth Proportional to 142,420.20, 213,642.50 and 37,239

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Solution

The fourth proportional to 142,420.20, 213,642.50 and 37,239 is: 55,861.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,420.20 : 213,642.50 = 37,239 : x
  2. Step 2: Convert to fraction form
    142,420.20/213,642.50 = 37,239/x
  3. Step 3: Cross multiply
    142,420.20x = 213,642.50 × 37,239
  4. Step 4: Simplify right side
    142,420.20x = 7,955,832,871.31
  5. Step 5: Solve for x
    x = 7,955,832,871.31/142,420.20
  6. Step 6: Final answer
    x = 55,861.69

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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.