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Finding the Fourth Proportional to 191,592.33, 287,173.69 and 77,713.68

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Solution

The fourth proportional to 191,592.33, 287,173.69 and 77,713.68 is: 116,483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,592.33 : 287,173.69 = 77,713.68 : x
  2. Step 2: Convert to fraction form
    191,592.33/287,173.69 = 77,713.68/x
  3. Step 3: Cross multiply
    191,592.33x = 287,173.69 × 77,713.68
  4. Step 4: Simplify right side
    191,592.33x = 22,317,324,487.95
  5. Step 5: Solve for x
    x = 22,317,324,487.95/191,592.33
  6. Step 6: Final answer
    x = 116,483.39

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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.