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Finding the Fourth Proportional to 214,617.56, 296,171.50 and 117,819.00

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Solution

The fourth proportional to 214,617.56, 296,171.50 and 117,819.00 is: 162,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,617.56 : 296,171.50 = 117,819.00 : x
  2. Step 2: Convert to fraction form
    214,617.56/296,171.50 = 117,819.00/x
  3. Step 3: Cross multiply
    214,617.56x = 296,171.50 × 117,819.00
  4. Step 4: Simplify right side
    214,617.56x = 34,894,630,995.51
  5. Step 5: Solve for x
    x = 34,894,630,995.51/214,617.56
  6. Step 6: Final answer
    x = 162,589.82

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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.