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Finding the Fourth Proportional to 242,311.44, 363,479.40 and 92,564.64

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Solution

The fourth proportional to 242,311.44, 363,479.40 and 92,564.64 is: 138,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,311.44 : 363,479.40 = 92,564.64 : x
  2. Step 2: Convert to fraction form
    242,311.44/363,479.40 = 92,564.64/x
  3. Step 3: Cross multiply
    242,311.44x = 363,479.40 × 92,564.64
  4. Step 4: Simplify right side
    242,311.44x = 33,645,339,808.42
  5. Step 5: Solve for x
    x = 33,645,339,808.42/242,311.44
  6. Step 6: Final answer
    x = 138,851.64

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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.