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Finding the Fourth Proportional to 316,694.64, 475,111.08 and 106,327.02

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Solution

The fourth proportional to 316,694.64, 475,111.08 and 106,327.02 is: 159,513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,694.64 : 475,111.08 = 106,327.02 : x
  2. Step 2: Convert to fraction form
    316,694.64/475,111.08 = 106,327.02/x
  3. Step 3: Cross multiply
    316,694.64x = 475,111.08 × 106,327.02
  4. Step 4: Simplify right side
    316,694.64x = 50,517,145,305.38
  5. Step 5: Solve for x
    x = 50,517,145,305.38/316,694.64
  6. Step 6: Final answer
    x = 159,513.74

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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.