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Finding the Fourth Proportional to 169,316.31, 233,623.56 and 100,393.01

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Solution

The fourth proportional to 169,316.31, 233,623.56 and 100,393.01 is: 138,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,316.31 : 233,623.56 = 100,393.01 : x
  2. Step 2: Convert to fraction form
    169,316.31/233,623.56 = 100,393.01/x
  3. Step 3: Cross multiply
    169,316.31x = 233,623.56 × 100,393.01
  4. Step 4: Simplify right side
    169,316.31x = 23,454,171,227.20
  5. Step 5: Solve for x
    x = 23,454,171,227.20/169,316.31
  6. Step 6: Final answer
    x = 138,522.81

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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.