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Finding the Fourth Proportional to 140,595.74, 210,893.60 and 35,422.90

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Solution

The fourth proportional to 140,595.74, 210,893.60 and 35,422.90 is: 53,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,595.74 : 210,893.60 = 35,422.90 : x
  2. Step 2: Convert to fraction form
    140,595.74/210,893.60 = 35,422.90/x
  3. Step 3: Cross multiply
    140,595.74x = 210,893.60 × 35,422.90
  4. Step 4: Simplify right side
    140,595.74x = 7,470,462,903.44
  5. Step 5: Solve for x
    x = 7,470,462,903.44/140,595.74
  6. Step 6: Final answer
    x = 53,134.35

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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.