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Finding the Fourth Proportional to 242,530.78, 363,951.82 and 162,658.92

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Solution

The fourth proportional to 242,530.78, 363,951.82 and 162,658.92 is: 244,092.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,530.78 : 363,951.82 = 162,658.92 : x
  2. Step 2: Convert to fraction form
    242,530.78/363,951.82 = 162,658.92/x
  3. Step 3: Cross multiply
    242,530.78x = 363,951.82 × 162,658.92
  4. Step 4: Simplify right side
    242,530.78x = 59,200,009,973.23
  5. Step 5: Solve for x
    x = 59,200,009,973.23/242,530.78
  6. Step 6: Final answer
    x = 244,092.77

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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.