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Finding the Fourth Proportional to 109,557.70, 164,240.55 and 74,383.30

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Solution

The fourth proportional to 109,557.70, 164,240.55 and 74,383.30 is: 111,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,557.70 : 164,240.55 = 74,383.30 : x
  2. Step 2: Convert to fraction form
    109,557.70/164,240.55 = 74,383.30/x
  3. Step 3: Cross multiply
    109,557.70x = 164,240.55 × 74,383.30
  4. Step 4: Simplify right side
    109,557.70x = 12,216,754,102.82
  5. Step 5: Solve for x
    x = 12,216,754,102.82/109,557.70
  6. Step 6: Final answer
    x = 111,509.77

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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.