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Finding the Fourth Proportional to 190,296.81, 285,472.08 and 77,993.28

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Solution

The fourth proportional to 190,296.81, 285,472.08 and 77,993.28 is: 117,000.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,296.81 : 285,472.08 = 77,993.28 : x
  2. Step 2: Convert to fraction form
    190,296.81/285,472.08 = 77,993.28/x
  3. Step 3: Cross multiply
    190,296.81x = 285,472.08 × 77,993.28
  4. Step 4: Simplify right side
    190,296.81x = 22,264,903,867.62
  5. Step 5: Solve for x
    x = 22,264,903,867.62/190,296.81
  6. Step 6: Final answer
    x = 117,000.93

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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.