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Finding the Fourth Proportional to 160,175.60, 221,088.45 and 105,767.49

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Solution

The fourth proportional to 160,175.60, 221,088.45 and 105,767.49 is: 145,989.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,175.60 : 221,088.45 = 105,767.49 : x
  2. Step 2: Convert to fraction form
    160,175.60/221,088.45 = 105,767.49/x
  3. Step 3: Cross multiply
    160,175.60x = 221,088.45 × 105,767.49
  4. Step 4: Simplify right side
    160,175.60x = 23,383,970,424.49
  5. Step 5: Solve for x
    x = 23,383,970,424.49/160,175.60
  6. Step 6: Final answer
    x = 145,989.59

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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.