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Finding the Fourth Proportional to 142,364.02, 213,583.20 and 42,524.23

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Solution

The fourth proportional to 142,364.02, 213,583.20 and 42,524.23 is: 63,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,364.02 : 213,583.20 = 42,524.23 : x
  2. Step 2: Convert to fraction form
    142,364.02/213,583.20 = 42,524.23/x
  3. Step 3: Cross multiply
    142,364.02x = 213,583.20 × 42,524.23
  4. Step 4: Simplify right side
    142,364.02x = 9,082,461,120.94
  5. Step 5: Solve for x
    x = 9,082,461,120.94/142,364.02
  6. Step 6: Final answer
    x = 63,797.45

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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.