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Finding the Fourth Proportional to 190,633.92, 285,952.80 and 57,515.28

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Solution

The fourth proportional to 190,633.92, 285,952.80 and 57,515.28 is: 86,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,633.92 : 285,952.80 = 57,515.28 : x
  2. Step 2: Convert to fraction form
    190,633.92/285,952.80 = 57,515.28/x
  3. Step 3: Cross multiply
    190,633.92x = 285,952.80 × 57,515.28
  4. Step 4: Simplify right side
    190,633.92x = 16,446,655,358.78
  5. Step 5: Solve for x
    x = 16,446,655,358.78/190,633.92
  6. Step 6: Final answer
    x = 86,273.50

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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.