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Finding the Fourth Proportional to 142,262.14, 213,393.21 and 42,492.42

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Solution

The fourth proportional to 142,262.14, 213,393.21 and 42,492.42 is: 63,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,262.14 : 213,393.21 = 42,492.42 : x
  2. Step 2: Convert to fraction form
    142,262.14/213,393.21 = 42,492.42/x
  3. Step 3: Cross multiply
    142,262.14x = 213,393.21 × 42,492.42
  4. Step 4: Simplify right side
    142,262.14x = 9,067,593,904.47
  5. Step 5: Solve for x
    x = 9,067,593,904.47/142,262.14
  6. Step 6: Final answer
    x = 63,738.63

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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.