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Finding the Fourth Proportional to 169,077.49, 233,270.28 and 97,455.97

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Solution

The fourth proportional to 169,077.49, 233,270.28 and 97,455.97 is: 134,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,077.49 : 233,270.28 = 97,455.97 : x
  2. Step 2: Convert to fraction form
    169,077.49/233,270.28 = 97,455.97/x
  3. Step 3: Cross multiply
    169,077.49x = 233,270.28 × 97,455.97
  4. Step 4: Simplify right side
    169,077.49x = 22,733,581,409.57
  5. Step 5: Solve for x
    x = 22,733,581,409.57/169,077.49
  6. Step 6: Final answer
    x = 134,456.58

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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.