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Finding the Fourth Proportional to 214,296.30, 295,732.49 and 117,498.15

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Solution

The fourth proportional to 214,296.30, 295,732.49 and 117,498.15 is: 162,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,296.30 : 295,732.49 = 117,498.15 : x
  2. Step 2: Convert to fraction form
    214,296.30/295,732.49 = 117,498.15/x
  3. Step 3: Cross multiply
    214,296.30x = 295,732.49 × 117,498.15
  4. Step 4: Simplify right side
    214,296.30x = 34,748,019,882.40
  5. Step 5: Solve for x
    x = 34,748,019,882.40/214,296.30
  6. Step 6: Final answer
    x = 162,149.42

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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.