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Finding the Fourth Proportional to 197,098.62, 295,869.06 and 78,852.42

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Solution

The fourth proportional to 197,098.62, 295,869.06 and 78,852.42 is: 118,367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,098.62 : 295,869.06 = 78,852.42 : x
  2. Step 2: Convert to fraction form
    197,098.62/295,869.06 = 78,852.42/x
  3. Step 3: Cross multiply
    197,098.62x = 295,869.06 × 78,852.42
  4. Step 4: Simplify right side
    197,098.62x = 23,329,991,384.13
  5. Step 5: Solve for x
    x = 23,329,991,384.13/197,098.62
  6. Step 6: Final answer
    x = 118,367.10

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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.