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Finding the Fourth Proportional to 190,703.54, 285,944.06 and 57,543.86

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Solution

The fourth proportional to 190,703.54, 285,944.06 and 57,543.86 is: 86,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,703.54 : 285,944.06 = 57,543.86 : x
  2. Step 2: Convert to fraction form
    190,703.54/285,944.06 = 57,543.86/x
  3. Step 3: Cross multiply
    190,703.54x = 285,944.06 × 57,543.86
  4. Step 4: Simplify right side
    190,703.54x = 16,454,324,956.47
  5. Step 5: Solve for x
    x = 16,454,324,956.47/190,703.54
  6. Step 6: Final answer
    x = 86,282.22

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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.