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Finding the Fourth Proportional to 190,449.93, 285,633.89 and 78,019.91

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Solution

The fourth proportional to 190,449.93, 285,633.89 and 78,019.91 is: 117,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,449.93 : 285,633.89 = 78,019.91 : x
  2. Step 2: Convert to fraction form
    190,449.93/285,633.89 = 78,019.91/x
  3. Step 3: Cross multiply
    190,449.93x = 285,633.89 × 78,019.91
  4. Step 4: Simplify right side
    190,449.93x = 22,285,128,572.48
  5. Step 5: Solve for x
    x = 22,285,128,572.48/190,449.93
  6. Step 6: Final answer
    x = 117,013.06

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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.