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Finding the Fourth Proportional to 142,049.45, 213,018.80 and 53,254.50

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Solution

The fourth proportional to 142,049.45, 213,018.80 and 53,254.50 is: 79,860.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,049.45 : 213,018.80 = 53,254.50 : x
  2. Step 2: Convert to fraction form
    142,049.45/213,018.80 = 53,254.50/x
  3. Step 3: Cross multiply
    142,049.45x = 213,018.80 × 53,254.50
  4. Step 4: Simplify right side
    142,049.45x = 11,344,209,418.33
  5. Step 5: Solve for x
    x = 11,344,209,418.33/142,049.45
  6. Step 6: Final answer
    x = 79,860.99

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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.