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Finding the Fourth Proportional to 190,167.86, 285,311.48 and 114,353.69

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Solution

The fourth proportional to 190,167.86, 285,311.48 and 114,353.69 is: 171,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,167.86 : 285,311.48 = 114,353.69 : x
  2. Step 2: Convert to fraction form
    190,167.86/285,311.48 = 114,353.69/x
  3. Step 3: Cross multiply
    190,167.86x = 285,311.48 × 114,353.69
  4. Step 4: Simplify right side
    190,167.86x = 32,626,418,539.04
  5. Step 5: Solve for x
    x = 32,626,418,539.04/190,167.86
  6. Step 6: Final answer
    x = 171,566.42

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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.