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Finding the Fourth Proportional to 98,505.86, 147,713.84 and 35,301.56

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Solution

The fourth proportional to 98,505.86, 147,713.84 and 35,301.56 is: 52,936.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,505.86 : 147,713.84 = 35,301.56 : x
  2. Step 2: Convert to fraction form
    98,505.86/147,713.84 = 35,301.56/x
  3. Step 3: Cross multiply
    98,505.86x = 147,713.84 × 35,301.56
  4. Step 4: Simplify right side
    98,505.86x = 5,214,529,178.37
  5. Step 5: Solve for x
    x = 5,214,529,178.37/98,505.86
  6. Step 6: Final answer
    x = 52,936.23

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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.