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Finding the Fourth Proportional to 150,934.13, 208,308.86 and 97,374.96

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Solution

The fourth proportional to 150,934.13, 208,308.86 and 97,374.96 is: 134,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,934.13 : 208,308.86 = 97,374.96 : x
  2. Step 2: Convert to fraction form
    150,934.13/208,308.86 = 97,374.96/x
  3. Step 3: Cross multiply
    150,934.13x = 208,308.86 × 97,374.96
  4. Step 4: Simplify right side
    150,934.13x = 20,284,067,336.16
  5. Step 5: Solve for x
    x = 20,284,067,336.16/150,934.13
  6. Step 6: Final answer
    x = 134,390.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.