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Finding the Fourth Proportional to 190,654.70, 285,983.97 and 57,536.06

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Solution

The fourth proportional to 190,654.70, 285,983.97 and 57,536.06 is: 86,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,654.70 : 285,983.97 = 57,536.06 : x
  2. Step 2: Convert to fraction form
    190,654.70/285,983.97 = 57,536.06/x
  3. Step 3: Cross multiply
    190,654.70x = 285,983.97 × 57,536.06
  4. Step 4: Simplify right side
    190,654.70x = 16,454,390,856.96
  5. Step 5: Solve for x
    x = 16,454,390,856.96/190,654.70
  6. Step 6: Final answer
    x = 86,304.67

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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.