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Finding the Fourth Proportional to 194,543.70, 291,946.86 and 76,200.36

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Solution

The fourth proportional to 194,543.70, 291,946.86 and 76,200.36 is: 114,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,543.70 : 291,946.86 = 76,200.36 : x
  2. Step 2: Convert to fraction form
    194,543.70/291,946.86 = 76,200.36/x
  3. Step 3: Cross multiply
    194,543.70x = 291,946.86 × 76,200.36
  4. Step 4: Simplify right side
    194,543.70x = 22,246,455,832.87
  5. Step 5: Solve for x
    x = 22,246,455,832.87/194,543.70
  6. Step 6: Final answer
    x = 114,351.97

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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.