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Finding the Fourth Proportional to 210,731.60, 315,636.60 and 163,614.80

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Solution

The fourth proportional to 210,731.60, 315,636.60 and 163,614.80 is: 245,064.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,731.60 : 315,636.60 = 163,614.80 : x
  2. Step 2: Convert to fraction form
    210,731.60/315,636.60 = 163,614.80/x
  3. Step 3: Cross multiply
    210,731.60x = 315,636.60 × 163,614.80
  4. Step 4: Simplify right side
    210,731.60x = 51,642,819,181.68
  5. Step 5: Solve for x
    x = 51,642,819,181.68/210,731.60
  6. Step 6: Final answer
    x = 245,064.43

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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.