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Finding the Fourth Proportional to 194,169.20, 291,253.80 and 69,465.20

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Solution

The fourth proportional to 194,169.20, 291,253.80 and 69,465.20 is: 104,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,169.20 : 291,253.80 = 69,465.20 : x
  2. Step 2: Convert to fraction form
    194,169.20/291,253.80 = 69,465.20/x
  3. Step 3: Cross multiply
    194,169.20x = 291,253.80 × 69,465.20
  4. Step 4: Simplify right side
    194,169.20x = 20,232,003,467.76
  5. Step 5: Solve for x
    x = 20,232,003,467.76/194,169.20
  6. Step 6: Final answer
    x = 104,197.80

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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.