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Finding the Fourth Proportional to 140,411, 210,653.38 and 50,462.79

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Solution

The fourth proportional to 140,411, 210,653.38 and 50,462.79 is: 75,707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,411 : 210,653.38 = 50,462.79 : x
  2. Step 2: Convert to fraction form
    140,411/210,653.38 = 50,462.79/x
  3. Step 3: Cross multiply
    140,411x = 210,653.38 × 50,462.79
  4. Step 4: Simplify right side
    140,411x = 10,630,157,277.73
  5. Step 5: Solve for x
    x = 10,630,157,277.73/140,411
  6. Step 6: Final answer
    x = 75,707.44

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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.