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Finding the Fourth Proportional to 242,493.65, 334,525.34 and 188,408.53

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Solution

The fourth proportional to 242,493.65, 334,525.34 and 188,408.53 is: 259,913.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,493.65 : 334,525.34 = 188,408.53 : x
  2. Step 2: Convert to fraction form
    242,493.65/334,525.34 = 188,408.53/x
  3. Step 3: Cross multiply
    242,493.65x = 334,525.34 × 188,408.53
  4. Step 4: Simplify right side
    242,493.65x = 63,027,427,086.13
  5. Step 5: Solve for x
    x = 63,027,427,086.13/242,493.65
  6. Step 6: Final answer
    x = 259,913.72

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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.