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Finding the Fourth Proportional to 175,645.98, 263,362.19 and 68,902.02

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Solution

The fourth proportional to 175,645.98, 263,362.19 and 68,902.02 is: 103,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,645.98 : 263,362.19 = 68,902.02 : x
  2. Step 2: Convert to fraction form
    175,645.98/263,362.19 = 68,902.02/x
  3. Step 3: Cross multiply
    175,645.98x = 263,362.19 × 68,902.02
  4. Step 4: Simplify right side
    175,645.98x = 18,146,186,538.11
  5. Step 5: Solve for x
    x = 18,146,186,538.11/175,645.98
  6. Step 6: Final answer
    x = 103,311.14

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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.