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Finding the Fourth Proportional to 109,317.16, 164,053.50 and 84,382.12

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Solution

The fourth proportional to 109,317.16, 164,053.50 and 84,382.12 is: 126,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,317.16 : 164,053.50 = 84,382.12 : x
  2. Step 2: Convert to fraction form
    109,317.16/164,053.50 = 84,382.12/x
  3. Step 3: Cross multiply
    109,317.16x = 164,053.50 × 84,382.12
  4. Step 4: Simplify right side
    109,317.16x = 13,843,182,123.42
  5. Step 5: Solve for x
    x = 13,843,182,123.42/109,317.16
  6. Step 6: Final answer
    x = 126,633.20

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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.