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Finding the Fourth Proportional to 316,691.64, 475,106.58 and 106,324.02

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Solution

The fourth proportional to 316,691.64, 475,106.58 and 106,324.02 is: 159,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,691.64 : 475,106.58 = 106,324.02 : x
  2. Step 2: Convert to fraction form
    316,691.64/475,106.58 = 106,324.02/x
  3. Step 3: Cross multiply
    316,691.64x = 475,106.58 × 106,324.02
  4. Step 4: Simplify right side
    316,691.64x = 50,515,241,514.05
  5. Step 5: Solve for x
    x = 50,515,241,514.05/316,691.64
  6. Step 6: Final answer
    x = 159,509.24

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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.