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Finding the Fourth Proportional to 242,285.34, 363,027.96 and 140,798.46

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Solution

The fourth proportional to 242,285.34, 363,027.96 and 140,798.46 is: 210,965.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,285.34 : 363,027.96 = 140,798.46 : x
  2. Step 2: Convert to fraction form
    242,285.34/363,027.96 = 140,798.46/x
  3. Step 3: Cross multiply
    242,285.34x = 363,027.96 × 140,798.46
  4. Step 4: Simplify right side
    242,285.34x = 51,113,777,704.94
  5. Step 5: Solve for x
    x = 51,113,777,704.94/242,285.34
  6. Step 6: Final answer
    x = 210,965.21

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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.