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Finding the Fourth Proportional to 202,806.42, 304,393.44 and 108,115.98

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Solution

The fourth proportional to 202,806.42, 304,393.44 and 108,115.98 is: 162,271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,806.42 : 304,393.44 = 108,115.98 : x
  2. Step 2: Convert to fraction form
    202,806.42/304,393.44 = 108,115.98/x
  3. Step 3: Cross multiply
    202,806.42x = 304,393.44 × 108,115.98
  4. Step 4: Simplify right side
    202,806.42x = 32,909,795,071.17
  5. Step 5: Solve for x
    x = 32,909,795,071.17/202,806.42
  6. Step 6: Final answer
    x = 162,271.96

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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.