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Finding the Fourth Proportional to 140,944, 211,416 and 35,763.52

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Solution

The fourth proportional to 140,944, 211,416 and 35,763.52 is: 53,645.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,944 : 211,416 = 35,763.52 : x
  2. Step 2: Convert to fraction form
    140,944/211,416 = 35,763.52/x
  3. Step 3: Cross multiply
    140,944x = 211,416 × 35,763.52
  4. Step 4: Simplify right side
    140,944x = 7,560,980,344.32
  5. Step 5: Solve for x
    x = 7,560,980,344.32/140,944
  6. Step 6: Final answer
    x = 53,645.28

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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.