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Finding the Fourth Proportional to 242,714.70, 363,962.70 and 92,905.20

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Solution

The fourth proportional to 242,714.70, 363,962.70 and 92,905.20 is: 139,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,714.70 : 363,962.70 = 92,905.20 : x
  2. Step 2: Convert to fraction form
    242,714.70/363,962.70 = 92,905.20/x
  3. Step 3: Cross multiply
    242,714.70x = 363,962.70 × 92,905.20
  4. Step 4: Simplify right side
    242,714.70x = 33,814,027,436.04
  5. Step 5: Solve for x
    x = 33,814,027,436.04/242,714.70
  6. Step 6: Final answer
    x = 139,315.94

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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.