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Finding the Fourth Proportional to 190,094.56, 285,053.76 and 106,988.48

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Solution

The fourth proportional to 190,094.56, 285,053.76 and 106,988.48 is: 160,433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,094.56 : 285,053.76 = 106,988.48 : x
  2. Step 2: Convert to fraction form
    190,094.56/285,053.76 = 106,988.48/x
  3. Step 3: Cross multiply
    190,094.56x = 285,053.76 × 106,988.48
  4. Step 4: Simplify right side
    190,094.56x = 30,497,468,500.68
  5. Step 5: Solve for x
    x = 30,497,468,500.68/190,094.56
  6. Step 6: Final answer
    x = 160,433.15

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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.