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Finding the Fourth Proportional to 140,308.20, 210,462.12 and 35,127

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Solution

The fourth proportional to 140,308.20, 210,462.12 and 35,127 is: 52,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,308.20 : 210,462.12 = 35,127 : x
  2. Step 2: Convert to fraction form
    140,308.20/210,462.12 = 35,127/x
  3. Step 3: Cross multiply
    140,308.20x = 210,462.12 × 35,127
  4. Step 4: Simplify right side
    140,308.20x = 7,392,902,889.24
  5. Step 5: Solve for x
    x = 7,392,902,889.24/140,308.20
  6. Step 6: Final answer
    x = 52,690.45

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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.