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Finding the Fourth Proportional to 231,957.81, 320,096.34 and 136,470.63

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Solution

The fourth proportional to 231,957.81, 320,096.34 and 136,470.63 is: 188,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,957.81 : 320,096.34 = 136,470.63 : x
  2. Step 2: Convert to fraction form
    231,957.81/320,096.34 = 136,470.63/x
  3. Step 3: Cross multiply
    231,957.81x = 320,096.34 × 136,470.63
  4. Step 4: Simplify right side
    231,957.81x = 43,683,749,180.49
  5. Step 5: Solve for x
    x = 43,683,749,180.49/231,957.81
  6. Step 6: Final answer
    x = 188,326.27

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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.