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Finding the Fourth Proportional to 214,246.56, 295,655.22 and 123,602.72

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Solution

The fourth proportional to 214,246.56, 295,655.22 and 123,602.72 is: 170,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,246.56 : 295,655.22 = 123,602.72 : x
  2. Step 2: Convert to fraction form
    214,246.56/295,655.22 = 123,602.72/x
  3. Step 3: Cross multiply
    214,246.56x = 295,655.22 × 123,602.72
  4. Step 4: Simplify right side
    214,246.56x = 36,543,789,374.20
  5. Step 5: Solve for x
    x = 36,543,789,374.20/214,246.56
  6. Step 6: Final answer
    x = 170,568.85

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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.