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Finding the Fourth Proportional to 160,256.97, 221,128.20 and 88,623

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Solution

The fourth proportional to 160,256.97, 221,128.20 and 88,623 is: 122,285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,256.97 : 221,128.20 = 88,623 : x
  2. Step 2: Convert to fraction form
    160,256.97/221,128.20 = 88,623/x
  3. Step 3: Cross multiply
    160,256.97x = 221,128.20 × 88,623
  4. Step 4: Simplify right side
    160,256.97x = 19,597,044,468.60
  5. Step 5: Solve for x
    x = 19,597,044,468.60/160,256.97
  6. Step 6: Final answer
    x = 122,285.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.