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Finding the Fourth Proportional to 242,956.44, 335,205.45 and 140,946.48

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Solution

The fourth proportional to 242,956.44, 335,205.45 and 140,946.48 is: 194,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,956.44 : 335,205.45 = 140,946.48 : x
  2. Step 2: Convert to fraction form
    242,956.44/335,205.45 = 140,946.48/x
  3. Step 3: Cross multiply
    242,956.44x = 335,205.45 × 140,946.48
  4. Step 4: Simplify right side
    242,956.44x = 47,246,028,254.32
  5. Step 5: Solve for x
    x = 47,246,028,254.32/242,956.44
  6. Step 6: Final answer
    x = 194,462.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.