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Finding the Fourth Proportional to 140,575.96, 210,863.76 and 35,394.94

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Solution

The fourth proportional to 140,575.96, 210,863.76 and 35,394.94 is: 53,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,575.96 : 210,863.76 = 35,394.94 : x
  2. Step 2: Convert to fraction form
    140,575.96/210,863.76 = 35,394.94/x
  3. Step 3: Cross multiply
    140,575.96x = 210,863.76 × 35,394.94
  4. Step 4: Simplify right side
    140,575.96x = 7,463,510,133.37
  5. Step 5: Solve for x
    x = 7,463,510,133.37/140,575.96
  6. Step 6: Final answer
    x = 53,092.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.