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Finding the Fourth Proportional to 194,468.65, 291,210.90 and 185,611.30

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Solution

The fourth proportional to 194,468.65, 291,210.90 and 185,611.30 is: 277,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,468.65 : 291,210.90 = 185,611.30 : x
  2. Step 2: Convert to fraction form
    194,468.65/291,210.90 = 185,611.30/x
  3. Step 3: Cross multiply
    194,468.65x = 291,210.90 × 185,611.30
  4. Step 4: Simplify right side
    194,468.65x = 54,052,033,723.17
  5. Step 5: Solve for x
    x = 54,052,033,723.17/194,468.65
  6. Step 6: Final answer
    x = 277,947.29

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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.