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Finding the Fourth Proportional to 214,255.80, 295,675.98 and 117,468.76

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Solution

The fourth proportional to 214,255.80, 295,675.98 and 117,468.76 is: 162,108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,255.80 : 295,675.98 = 117,468.76 : x
  2. Step 2: Convert to fraction form
    214,255.80/295,675.98 = 117,468.76/x
  3. Step 3: Cross multiply
    214,255.80x = 295,675.98 × 117,468.76
  4. Step 4: Simplify right side
    214,255.80x = 34,732,690,732.38
  5. Step 5: Solve for x
    x = 34,732,690,732.38/214,255.80
  6. Step 6: Final answer
    x = 162,108.52

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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.