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Finding the Fourth Proportional to 175,920, 242,784.96 and 96,447.36

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Solution

The fourth proportional to 175,920, 242,784.96 and 96,447.36 is: 133,105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,920 : 242,784.96 = 96,447.36 : x
  2. Step 2: Convert to fraction form
    175,920/242,784.96 = 96,447.36/x
  3. Step 3: Cross multiply
    175,920x = 242,784.96 × 96,447.36
  4. Step 4: Simplify right side
    175,920x = 23,415,968,439.71
  5. Step 5: Solve for x
    x = 23,415,968,439.71/175,920
  6. Step 6: Final answer
    x = 133,105.78

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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.