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Finding the Fourth Proportional to 171,099.90, 256,477.05 and 77,672.70

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Solution

The fourth proportional to 171,099.90, 256,477.05 and 77,672.70 is: 116,430.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,099.90 : 256,477.05 = 77,672.70 : x
  2. Step 2: Convert to fraction form
    171,099.90/256,477.05 = 77,672.70/x
  3. Step 3: Cross multiply
    171,099.90x = 256,477.05 × 77,672.70
  4. Step 4: Simplify right side
    171,099.90x = 19,921,264,961.54
  5. Step 5: Solve for x
    x = 19,921,264,961.54/171,099.90
  6. Step 6: Final answer
    x = 116,430.61

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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.