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Finding the Fourth Proportional to 106,056.33, 159,086.51 and 84,898.11

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Solution

The fourth proportional to 106,056.33, 159,086.51 and 84,898.11 is: 127,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,056.33 : 159,086.51 = 84,898.11 : x
  2. Step 2: Convert to fraction form
    106,056.33/159,086.51 = 84,898.11/x
  3. Step 3: Cross multiply
    106,056.33x = 159,086.51 × 84,898.11
  4. Step 4: Simplify right side
    106,056.33x = 13,506,144,025.50
  5. Step 5: Solve for x
    x = 13,506,144,025.50/106,056.33
  6. Step 6: Final answer
    x = 127,348.78

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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.