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Finding the Fourth Proportional to 191,517.83, 287,265.94 and 84,871.07

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Solution

The fourth proportional to 191,517.83, 287,265.94 and 84,871.07 is: 127,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,517.83 : 287,265.94 = 84,871.07 : x
  2. Step 2: Convert to fraction form
    191,517.83/287,265.94 = 84,871.07/x
  3. Step 3: Cross multiply
    191,517.83x = 287,265.94 × 84,871.07
  4. Step 4: Simplify right side
    191,517.83x = 24,380,567,702.36
  5. Step 5: Solve for x
    x = 24,380,567,702.36/191,517.83
  6. Step 6: Final answer
    x = 127,301.82

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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.