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Finding the Fourth Proportional to 122,065.20, 182,806.20 and 98,737.20

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Solution

The fourth proportional to 122,065.20, 182,806.20 and 98,737.20 is: 147,869.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,065.20 : 182,806.20 = 98,737.20 : x
  2. Step 2: Convert to fraction form
    122,065.20/182,806.20 = 98,737.20/x
  3. Step 3: Cross multiply
    122,065.20x = 182,806.20 × 98,737.20
  4. Step 4: Simplify right side
    122,065.20x = 18,049,772,330.64
  5. Step 5: Solve for x
    x = 18,049,772,330.64/122,065.20
  6. Step 6: Final answer
    x = 147,869.93

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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.