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Finding the Fourth Proportional to 164,405.54, 226,855.32 and 99,841.20

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Solution

The fourth proportional to 164,405.54, 226,855.32 and 99,841.20 is: 137,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,405.54 : 226,855.32 = 99,841.20 : x
  2. Step 2: Convert to fraction form
    164,405.54/226,855.32 = 99,841.20/x
  3. Step 3: Cross multiply
    164,405.54x = 226,855.32 × 99,841.20
  4. Step 4: Simplify right side
    164,405.54x = 22,649,507,375.18
  5. Step 5: Solve for x
    x = 22,649,507,375.18/164,405.54
  6. Step 6: Final answer
    x = 137,766.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.