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Finding the Fourth Proportional to 191,013.93, 286,578.14 and 77,103.09

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Solution

The fourth proportional to 191,013.93, 286,578.14 and 77,103.09 is: 115,677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,013.93 : 286,578.14 = 77,103.09 : x
  2. Step 2: Convert to fraction form
    191,013.93/286,578.14 = 77,103.09/x
  3. Step 3: Cross multiply
    191,013.93x = 286,578.14 × 77,103.09
  4. Step 4: Simplify right side
    191,013.93x = 22,096,059,734.94
  5. Step 5: Solve for x
    x = 22,096,059,734.94/191,013.93
  6. Step 6: Final answer
    x = 115,677.74

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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.