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Finding the Fourth Proportional to 142,327.40, 213,418.67 and 47,523.51

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Solution

The fourth proportional to 142,327.40, 213,418.67 and 47,523.51 is: 71,261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,327.40 : 213,418.67 = 47,523.51 : x
  2. Step 2: Convert to fraction form
    142,327.40/213,418.67 = 47,523.51/x
  3. Step 3: Cross multiply
    142,327.40x = 213,418.67 × 47,523.51
  4. Step 4: Simplify right side
    142,327.40x = 10,142,404,060.31
  5. Step 5: Solve for x
    x = 10,142,404,060.31/142,327.40
  6. Step 6: Final answer
    x = 71,261.08

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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.