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Finding the Fourth Proportional to 191,686.26, 287,546.67 and 51,443.94

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Solution

The fourth proportional to 191,686.26, 287,546.67 and 51,443.94 is: 77,170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,686.26 : 287,546.67 = 51,443.94 : x
  2. Step 2: Convert to fraction form
    191,686.26/287,546.67 = 51,443.94/x
  3. Step 3: Cross multiply
    191,686.26x = 287,546.67 × 51,443.94
  4. Step 4: Simplify right side
    191,686.26x = 14,792,533,638.68
  5. Step 5: Solve for x
    x = 14,792,533,638.68/191,686.26
  6. Step 6: Final answer
    x = 77,170.55

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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.