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Finding the Fourth Proportional to 316,709.46, 475,138.62 and 92,074.86

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Solution

The fourth proportional to 316,709.46, 475,138.62 and 92,074.86 is: 138,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,709.46 : 475,138.62 = 92,074.86 : x
  2. Step 2: Convert to fraction form
    316,709.46/475,138.62 = 92,074.86/x
  3. Step 3: Cross multiply
    316,709.46x = 475,138.62 × 92,074.86
  4. Step 4: Simplify right side
    316,709.46x = 43,748,321,917.09
  5. Step 5: Solve for x
    x = 43,748,321,917.09/316,709.46
  6. Step 6: Final answer
    x = 138,133.93

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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.