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Finding the Fourth Proportional to 140,202.99, 210,304.94 and 35,021.96

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Solution

The fourth proportional to 140,202.99, 210,304.94 and 35,021.96 is: 52,533.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,202.99 : 210,304.94 = 35,021.96 : x
  2. Step 2: Convert to fraction form
    140,202.99/210,304.94 = 35,021.96/x
  3. Step 3: Cross multiply
    140,202.99x = 210,304.94 × 35,021.96
  4. Step 4: Simplify right side
    140,202.99x = 7,365,291,196.48
  5. Step 5: Solve for x
    x = 7,365,291,196.48/140,202.99
  6. Step 6: Final answer
    x = 52,533.05

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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.