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Finding the Fourth Proportional to 169,061.94, 233,305.11 and 97,441.47

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Solution

The fourth proportional to 169,061.94, 233,305.11 and 97,441.47 is: 134,469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,061.94 : 233,305.11 = 97,441.47 : x
  2. Step 2: Convert to fraction form
    169,061.94/233,305.11 = 97,441.47/x
  3. Step 3: Cross multiply
    169,061.94x = 233,305.11 × 97,441.47
  4. Step 4: Simplify right side
    169,061.94x = 22,733,592,876.91
  5. Step 5: Solve for x
    x = 22,733,592,876.91/169,061.94
  6. Step 6: Final answer
    x = 134,469.02

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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.