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Finding the Fourth Proportional to 194,568.90, 291,637.35 and 76,200.90

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Solution

The fourth proportional to 194,568.90, 291,637.35 and 76,200.90 is: 114,216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,568.90 : 291,637.35 = 76,200.90 : x
  2. Step 2: Convert to fraction form
    194,568.90/291,637.35 = 76,200.90/x
  3. Step 3: Cross multiply
    194,568.90x = 291,637.35 × 76,200.90
  4. Step 4: Simplify right side
    194,568.90x = 22,223,028,543.62
  5. Step 5: Solve for x
    x = 22,223,028,543.62/194,568.90
  6. Step 6: Final answer
    x = 114,216.76

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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.