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Finding the Fourth Proportional to 144,231.96, 200,058.45 and 140,395.80

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Solution

The fourth proportional to 144,231.96, 200,058.45 and 140,395.80 is: 194,737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,231.96 : 200,058.45 = 140,395.80 : x
  2. Step 2: Convert to fraction form
    144,231.96/200,058.45 = 140,395.80/x
  3. Step 3: Cross multiply
    144,231.96x = 200,058.45 × 140,395.80
  4. Step 4: Simplify right side
    144,231.96x = 28,087,366,134.51
  5. Step 5: Solve for x
    x = 28,087,366,134.51/144,231.96
  6. Step 6: Final answer
    x = 194,737.46

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.