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Finding the Fourth Proportional to 194,442.60, 291,696.30 and 76,117.80

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Solution

The fourth proportional to 194,442.60, 291,696.30 and 76,117.80 is: 114,189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,442.60 : 291,696.30 = 76,117.80 : x
  2. Step 2: Convert to fraction form
    194,442.60/291,696.30 = 76,117.80/x
  3. Step 3: Cross multiply
    194,442.60x = 291,696.30 × 76,117.80
  4. Step 4: Simplify right side
    194,442.60x = 22,203,280,624.14
  5. Step 5: Solve for x
    x = 22,203,280,624.14/194,442.60
  6. Step 6: Final answer
    x = 114,189.38

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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.