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Finding the Fourth Proportional to 118,099.22, 177,251.21 and 61,978.98

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Solution

The fourth proportional to 118,099.22, 177,251.21 and 61,978.98 is: 93,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,099.22 : 177,251.21 = 61,978.98 : x
  2. Step 2: Convert to fraction form
    118,099.22/177,251.21 = 61,978.98/x
  3. Step 3: Cross multiply
    118,099.22x = 177,251.21 × 61,978.98
  4. Step 4: Simplify right side
    118,099.22x = 10,985,849,199.57
  5. Step 5: Solve for x
    x = 10,985,849,199.57/118,099.22
  6. Step 6: Final answer
    x = 93,022.20

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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.