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Finding the Fourth Proportional to 140,214.50, 210,322.20 and 35,033.48

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Solution

The fourth proportional to 140,214.50, 210,322.20 and 35,033.48 is: 52,550.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,214.50 : 210,322.20 = 35,033.48 : x
  2. Step 2: Convert to fraction form
    140,214.50/210,322.20 = 35,033.48/x
  3. Step 3: Cross multiply
    140,214.50x = 210,322.20 × 35,033.48
  4. Step 4: Simplify right side
    140,214.50x = 7,368,318,587.26
  5. Step 5: Solve for x
    x = 7,368,318,587.26/140,214.50
  6. Step 6: Final answer
    x = 52,550.33

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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.