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Finding the Fourth Proportional to 173,051.64, 238,796.10 and 96,564.96

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Solution

The fourth proportional to 173,051.64, 238,796.10 and 96,564.96 is: 133,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,051.64 : 238,796.10 = 96,564.96 : x
  2. Step 2: Convert to fraction form
    173,051.64/238,796.10 = 96,564.96/x
  3. Step 3: Cross multiply
    173,051.64x = 238,796.10 × 96,564.96
  4. Step 4: Simplify right side
    173,051.64x = 23,059,335,844.66
  5. Step 5: Solve for x
    x = 23,059,335,844.66/173,051.64
  6. Step 6: Final answer
    x = 133,251.18

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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.