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Finding the Fourth Proportional to 194,614.60, 291,921.90 and 185,429.20

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Solution

The fourth proportional to 194,614.60, 291,921.90 and 185,429.20 is: 278,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,614.60 : 291,921.90 = 185,429.20 : x
  2. Step 2: Convert to fraction form
    194,614.60/291,921.90 = 185,429.20/x
  3. Step 3: Cross multiply
    194,614.60x = 291,921.90 × 185,429.20
  4. Step 4: Simplify right side
    194,614.60x = 54,130,844,379.48
  5. Step 5: Solve for x
    x = 54,130,844,379.48/194,614.60
  6. Step 6: Final answer
    x = 278,143.80

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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.