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Finding the Fourth Proportional to 316,785.81, 475,259.22 and 92,146.25

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Solution

The fourth proportional to 316,785.81, 475,259.22 and 92,146.25 is: 138,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,785.81 : 475,259.22 = 92,146.25 : x
  2. Step 2: Convert to fraction form
    316,785.81/475,259.22 = 92,146.25/x
  3. Step 3: Cross multiply
    316,785.81x = 475,259.22 × 92,146.25
  4. Step 4: Simplify right side
    316,785.81x = 43,793,352,524.63
  5. Step 5: Solve for x
    x = 43,793,352,524.63/316,785.81
  6. Step 6: Final answer
    x = 138,242.78

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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.