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Finding the Fourth Proportional to 140,039.72, 210,058.50 and 34,857.98

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Solution

The fourth proportional to 140,039.72, 210,058.50 and 34,857.98 is: 52,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,039.72 : 210,058.50 = 34,857.98 : x
  2. Step 2: Convert to fraction form
    140,039.72/210,058.50 = 34,857.98/x
  3. Step 3: Cross multiply
    140,039.72x = 210,058.50 × 34,857.98
  4. Step 4: Simplify right side
    140,039.72x = 7,322,214,991.83
  5. Step 5: Solve for x
    x = 7,322,214,991.83/140,039.72
  6. Step 6: Final answer
    x = 52,286.70

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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.