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Finding the Fourth Proportional to 191,691.16, 287,537.04 and 191,414.34

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Solution

The fourth proportional to 191,691.16, 287,537.04 and 191,414.34 is: 287,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,691.16 : 287,537.04 = 191,414.34 : x
  2. Step 2: Convert to fraction form
    191,691.16/287,537.04 = 191,414.34/x
  3. Step 3: Cross multiply
    191,691.16x = 287,537.04 × 191,414.34
  4. Step 4: Simplify right side
    191,691.16x = 55,038,712,737.15
  5. Step 5: Solve for x
    x = 55,038,712,737.15/191,691.16
  6. Step 6: Final answer
    x = 287,121.81

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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.