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Finding the Fourth Proportional to 106,096.59, 159,046 and 72,832.32

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Solution

The fourth proportional to 106,096.59, 159,046 and 72,832.32 is: 109,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,096.59 : 159,046 = 72,832.32 : x
  2. Step 2: Convert to fraction form
    106,096.59/159,046 = 72,832.32/x
  3. Step 3: Cross multiply
    106,096.59x = 159,046 × 72,832.32
  4. Step 4: Simplify right side
    106,096.59x = 11,583,689,166.72
  5. Step 5: Solve for x
    x = 11,583,689,166.72/106,096.59
  6. Step 6: Final answer
    x = 109,180.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.