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Finding the Fourth Proportional to 242,714.15, 364,123.78 and 92,954.47

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Solution

The fourth proportional to 242,714.15, 364,123.78 and 92,954.47 is: 139,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,714.15 : 364,123.78 = 92,954.47 : x
  2. Step 2: Convert to fraction form
    242,714.15/364,123.78 = 92,954.47/x
  3. Step 3: Cross multiply
    242,714.15x = 364,123.78 × 92,954.47
  4. Step 4: Simplify right side
    242,714.15x = 33,846,931,841.60
  5. Step 5: Solve for x
    x = 33,846,931,841.60/242,714.15
  6. Step 6: Final answer
    x = 139,451.83

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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.