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Finding the Fourth Proportional to 242,714.46, 364,235.70 and 84,944.28

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Solution

The fourth proportional to 242,714.46, 364,235.70 and 84,944.28 is: 127,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,714.46 : 364,235.70 = 84,944.28 : x
  2. Step 2: Convert to fraction form
    242,714.46/364,235.70 = 84,944.28/x
  3. Step 3: Cross multiply
    242,714.46x = 364,235.70 × 84,944.28
  4. Step 4: Simplify right side
    242,714.46x = 30,939,739,286.80
  5. Step 5: Solve for x
    x = 30,939,739,286.80/242,714.46
  6. Step 6: Final answer
    x = 127,473.82

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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.