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Finding the Fourth Proportional to 242,857.72, 364,199.02 and 102,627.24

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Solution

The fourth proportional to 242,857.72, 364,199.02 and 102,627.24 is: 153,903.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,857.72 : 364,199.02 = 102,627.24 : x
  2. Step 2: Convert to fraction form
    242,857.72/364,199.02 = 102,627.24/x
  3. Step 3: Cross multiply
    242,857.72x = 364,199.02 × 102,627.24
  4. Step 4: Simplify right side
    242,857.72x = 37,376,740,233.30
  5. Step 5: Solve for x
    x = 37,376,740,233.30/242,857.72
  6. Step 6: Final answer
    x = 153,903.86

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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.