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Finding the Fourth Proportional to 190,952.56, 286,430.46 and 57,843.28

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Solution

The fourth proportional to 190,952.56, 286,430.46 and 57,843.28 is: 86,765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,952.56 : 286,430.46 = 57,843.28 : x
  2. Step 2: Convert to fraction form
    190,952.56/286,430.46 = 57,843.28/x
  3. Step 3: Cross multiply
    190,952.56x = 286,430.46 × 57,843.28
  4. Step 4: Simplify right side
    190,952.56x = 16,568,077,298.31
  5. Step 5: Solve for x
    x = 16,568,077,298.31/190,952.56
  6. Step 6: Final answer
    x = 86,765.41

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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.