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Finding the Fourth Proportional to 242,539.72, 363,809.60 and 92,825.93

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Solution

The fourth proportional to 242,539.72, 363,809.60 and 92,825.93 is: 139,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,539.72 : 363,809.60 = 92,825.93 : x
  2. Step 2: Convert to fraction form
    242,539.72/363,809.60 = 92,825.93/x
  3. Step 3: Cross multiply
    242,539.72x = 363,809.60 × 92,825.93
  4. Step 4: Simplify right side
    242,539.72x = 33,770,964,462.93
  5. Step 5: Solve for x
    x = 33,770,964,462.93/242,539.72
  6. Step 6: Final answer
    x = 139,238.90

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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.