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Finding the Fourth Proportional to 169,270, 233,600.22 and 96,679.20

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Solution

The fourth proportional to 169,270, 233,600.22 and 96,679.20 is: 133,421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,270 : 233,600.22 = 96,679.20 : x
  2. Step 2: Convert to fraction form
    169,270/233,600.22 = 96,679.20/x
  3. Step 3: Cross multiply
    169,270x = 233,600.22 × 96,679.20
  4. Step 4: Simplify right side
    169,270x = 22,584,282,389.42
  5. Step 5: Solve for x
    x = 22,584,282,389.42/169,270
  6. Step 6: Final answer
    x = 133,421.65

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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.