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Finding the Fourth Proportional to 142,422, 213,669.48 and 53,676.24

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Solution

The fourth proportional to 142,422, 213,669.48 and 53,676.24 is: 80,528.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,422 : 213,669.48 = 53,676.24 : x
  2. Step 2: Convert to fraction form
    142,422/213,669.48 = 53,676.24/x
  3. Step 3: Cross multiply
    142,422x = 213,669.48 × 53,676.24
  4. Step 4: Simplify right side
    142,422x = 11,468,974,289.16
  5. Step 5: Solve for x
    x = 11,468,974,289.16/142,422
  6. Step 6: Final answer
    x = 80,528.11

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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.