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Finding the Fourth Proportional to 142,795.40, 214,193.10 and 136,234.40

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Solution

The fourth proportional to 142,795.40, 214,193.10 and 136,234.40 is: 204,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,795.40 : 214,193.10 = 136,234.40 : x
  2. Step 2: Convert to fraction form
    142,795.40/214,193.10 = 136,234.40/x
  3. Step 3: Cross multiply
    142,795.40x = 214,193.10 × 136,234.40
  4. Step 4: Simplify right side
    142,795.40x = 29,180,468,462.64
  5. Step 5: Solve for x
    x = 29,180,468,462.64/142,795.40
  6. Step 6: Final answer
    x = 204,351.60

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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.