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Finding the Fourth Proportional to 170,624.14, 256,093.29 and 86,442.86

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Solution

The fourth proportional to 170,624.14, 256,093.29 and 86,442.86 is: 129,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,624.14 : 256,093.29 = 86,442.86 : x
  2. Step 2: Convert to fraction form
    170,624.14/256,093.29 = 86,442.86/x
  3. Step 3: Cross multiply
    170,624.14x = 256,093.29 × 86,442.86
  4. Step 4: Simplify right side
    170,624.14x = 22,137,437,054.64
  5. Step 5: Solve for x
    x = 22,137,437,054.64/170,624.14
  6. Step 6: Final answer
    x = 129,743.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.