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Finding the Fourth Proportional to 214,000.88, 295,314.50 and 117,200.48

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Solution

The fourth proportional to 214,000.88, 295,314.50 and 117,200.48 is: 161,732.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,000.88 : 295,314.50 = 117,200.48 : x
  2. Step 2: Convert to fraction form
    214,000.88/295,314.50 = 117,200.48/x
  3. Step 3: Cross multiply
    214,000.88x = 295,314.50 × 117,200.48
  4. Step 4: Simplify right side
    214,000.88x = 34,611,001,150.96
  5. Step 5: Solve for x
    x = 34,611,001,150.96/214,000.88
  6. Step 6: Final answer
    x = 161,732.99

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1.5x scale

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.