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Finding the Fourth Proportional to 142,058.42, 213,122.33 and 47,288.42

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Solution

The fourth proportional to 142,058.42, 213,122.33 and 47,288.42 is: 70,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,058.42 : 213,122.33 = 47,288.42 : x
  2. Step 2: Convert to fraction form
    142,058.42/213,122.33 = 47,288.42/x
  3. Step 3: Cross multiply
    142,058.42x = 213,122.33 × 47,288.42
  4. Step 4: Simplify right side
    142,058.42x = 10,078,218,252.42
  5. Step 5: Solve for x
    x = 10,078,218,252.42/142,058.42
  6. Step 6: Final answer
    x = 70,944.18

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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.