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Finding the Fourth Proportional to 140,816.61, 211,232.21 and 35,636.49

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Solution

The fourth proportional to 140,816.61, 211,232.21 and 35,636.49 is: 53,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,816.61 : 211,232.21 = 35,636.49 : x
  2. Step 2: Convert to fraction form
    140,816.61/211,232.21 = 35,636.49/x
  3. Step 3: Cross multiply
    140,816.61x = 211,232.21 × 35,636.49
  4. Step 4: Simplify right side
    140,816.61x = 7,527,574,361.16
  5. Step 5: Solve for x
    x = 7,527,574,361.16/140,816.61
  6. Step 6: Final answer
    x = 53,456.58

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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.