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Finding the Fourth Proportional to 106,482.68, 159,599.82 and 80,102.60

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Solution

The fourth proportional to 106,482.68, 159,599.82 and 80,102.60 is: 120,060.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,482.68 : 159,599.82 = 80,102.60 : x
  2. Step 2: Convert to fraction form
    106,482.68/159,599.82 = 80,102.60/x
  3. Step 3: Cross multiply
    106,482.68x = 159,599.82 × 80,102.60
  4. Step 4: Simplify right side
    106,482.68x = 12,784,360,541.53
  5. Step 5: Solve for x
    x = 12,784,360,541.53/106,482.68
  6. Step 6: Final answer
    x = 120,060.47

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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.