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Finding the Fourth Proportional to 242,600, 334,794.48 and 135,174.56

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Solution

The fourth proportional to 242,600, 334,794.48 and 135,174.56 is: 186,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,600 : 334,794.48 = 135,174.56 : x
  2. Step 2: Convert to fraction form
    242,600/334,794.48 = 135,174.56/x
  3. Step 3: Cross multiply
    242,600x = 334,794.48 × 135,174.56
  4. Step 4: Simplify right side
    242,600x = 45,255,696,524.43
  5. Step 5: Solve for x
    x = 45,255,696,524.43/242,600
  6. Step 6: Final answer
    x = 186,544.50

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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.