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Finding the Fourth Proportional to 164,285.65, 226,671.24 and 96,266.17

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Solution

The fourth proportional to 164,285.65, 226,671.24 and 96,266.17 is: 132,822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,285.65 : 226,671.24 = 96,266.17 : x
  2. Step 2: Convert to fraction form
    164,285.65/226,671.24 = 96,266.17/x
  3. Step 3: Cross multiply
    164,285.65x = 226,671.24 × 96,266.17
  4. Step 4: Simplify right side
    164,285.65x = 21,820,772,123.95
  5. Step 5: Solve for x
    x = 21,820,772,123.95/164,285.65
  6. Step 6: Final answer
    x = 132,822.14

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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.