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Finding the Fourth Proportional to 116,175, 160,370.52 and 78,500.28

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Solution

The fourth proportional to 116,175, 160,370.52 and 78,500.28 is: 108,363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,175 : 160,370.52 = 78,500.28 : x
  2. Step 2: Convert to fraction form
    116,175/160,370.52 = 78,500.28/x
  3. Step 3: Cross multiply
    116,175x = 160,370.52 × 78,500.28
  4. Step 4: Simplify right side
    116,175x = 12,589,130,723.75
  5. Step 5: Solve for x
    x = 12,589,130,723.75/116,175
  6. Step 6: Final answer
    x = 108,363.51

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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.