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Finding the Fourth Proportional to 109,721.36, 164,805.60 and 72,335

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Solution

The fourth proportional to 109,721.36, 164,805.60 and 72,335 is: 108,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,721.36 : 164,805.60 = 72,335 : x
  2. Step 2: Convert to fraction form
    109,721.36/164,805.60 = 72,335/x
  3. Step 3: Cross multiply
    109,721.36x = 164,805.60 × 72,335
  4. Step 4: Simplify right side
    109,721.36x = 11,921,213,076
  5. Step 5: Solve for x
    x = 11,921,213,076/109,721.36
  6. Step 6: Final answer
    x = 108,649.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.