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Finding the Fourth Proportional to 109,646.38, 151,315.66 and 67,196.70

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Solution

The fourth proportional to 109,646.38, 151,315.66 and 67,196.70 is: 92,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,646.38 : 151,315.66 = 67,196.70 : x
  2. Step 2: Convert to fraction form
    109,646.38/151,315.66 = 67,196.70/x
  3. Step 3: Cross multiply
    109,646.38x = 151,315.66 × 67,196.70
  4. Step 4: Simplify right side
    109,646.38x = 10,167,913,010.32
  5. Step 5: Solve for x
    x = 10,167,913,010.32/109,646.38
  6. Step 6: Final answer
    x = 92,733.69

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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.