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Finding the Fourth Proportional to 242,271.41, 363,464.62 and 76,059.41

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Solution

The fourth proportional to 242,271.41, 363,464.62 and 76,059.41 is: 114,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,271.41 : 363,464.62 = 76,059.41 : x
  2. Step 2: Convert to fraction form
    242,271.41/363,464.62 = 76,059.41/x
  3. Step 3: Cross multiply
    242,271.41x = 363,464.62 × 76,059.41
  4. Step 4: Simplify right side
    242,271.41x = 27,644,902,545.60
  5. Step 5: Solve for x
    x = 27,644,902,545.60/242,271.41
  6. Step 6: Final answer
    x = 114,107.16

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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.