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Finding the Fourth Proportional to 174,472.86, 240,753.42 and 97,976.46

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Solution

The fourth proportional to 174,472.86, 240,753.42 and 97,976.46 is: 135,196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,472.86 : 240,753.42 = 97,976.46 : x
  2. Step 2: Convert to fraction form
    174,472.86/240,753.42 = 97,976.46/x
  3. Step 3: Cross multiply
    174,472.86x = 240,753.42 × 97,976.46
  4. Step 4: Simplify right side
    174,472.86x = 23,588,167,824.49
  5. Step 5: Solve for x
    x = 23,588,167,824.49/174,472.86
  6. Step 6: Final answer
    x = 135,196.77

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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.