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Finding the Fourth Proportional to 190,995.87, 286,395.26 and 85,724.76

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Solution

The fourth proportional to 190,995.87, 286,395.26 and 85,724.76 is: 128,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,995.87 : 286,395.26 = 85,724.76 : x
  2. Step 2: Convert to fraction form
    190,995.87/286,395.26 = 85,724.76/x
  3. Step 3: Cross multiply
    190,995.87x = 286,395.26 × 85,724.76
  4. Step 4: Simplify right side
    190,995.87x = 24,551,164,500.01
  5. Step 5: Solve for x
    x = 24,551,164,500.01/190,995.87
  6. Step 6: Final answer
    x = 128,542.91

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1.5x scale

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.