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Finding the Fourth Proportional to 214,108.80, 295,472.52 and 118,617

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Solution

The fourth proportional to 214,108.80, 295,472.52 and 118,617 is: 163,692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,108.80 : 295,472.52 = 118,617 : x
  2. Step 2: Convert to fraction form
    214,108.80/295,472.52 = 118,617/x
  3. Step 3: Cross multiply
    214,108.80x = 295,472.52 × 118,617
  4. Step 4: Simplify right side
    214,108.80x = 35,048,063,904.84
  5. Step 5: Solve for x
    x = 35,048,063,904.84/214,108.80
  6. Step 6: Final answer
    x = 163,692.78

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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.