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Finding the Fourth Proportional to 194,295.40, 291,443.10 and 111,197.80

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Solution

The fourth proportional to 194,295.40, 291,443.10 and 111,197.80 is: 166,796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,295.40 : 291,443.10 = 111,197.80 : x
  2. Step 2: Convert to fraction form
    194,295.40/291,443.10 = 111,197.80/x
  3. Step 3: Cross multiply
    194,295.40x = 291,443.10 × 111,197.80
  4. Step 4: Simplify right side
    194,295.40x = 32,407,831,545.18
  5. Step 5: Solve for x
    x = 32,407,831,545.18/194,295.40
  6. Step 6: Final answer
    x = 166,796.70

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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.