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Finding the Fourth Proportional to 233,694, 322,497.72 and 133,101.36

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Solution

The fourth proportional to 233,694, 322,497.72 and 133,101.36 is: 183,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,694 : 322,497.72 = 133,101.36 : x
  2. Step 2: Convert to fraction form
    233,694/322,497.72 = 133,101.36/x
  3. Step 3: Cross multiply
    233,694x = 322,497.72 × 133,101.36
  4. Step 4: Simplify right side
    233,694x = 42,924,885,128.90
  5. Step 5: Solve for x
    x = 42,924,885,128.90/233,694
  6. Step 6: Final answer
    x = 183,679.88

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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.