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Finding the Fourth Proportional to 231,998.41, 320,142.63 and 136,486.63

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Solution

The fourth proportional to 231,998.41, 320,142.63 and 136,486.63 is: 188,342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,998.41 : 320,142.63 = 136,486.63 : x
  2. Step 2: Convert to fraction form
    231,998.41/320,142.63 = 136,486.63/x
  3. Step 3: Cross multiply
    231,998.41x = 320,142.63 × 136,486.63
  4. Step 4: Simplify right side
    231,998.41x = 43,695,188,688.04
  5. Step 5: Solve for x
    x = 43,695,188,688.04/231,998.41
  6. Step 6: Final answer
    x = 188,342.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.