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Finding the Fourth Proportional to 233,189.75, 349,745.49 and 64,727.19

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Solution

The fourth proportional to 233,189.75, 349,745.49 and 64,727.19 is: 97,079.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,189.75 : 349,745.49 = 64,727.19 : x
  2. Step 2: Convert to fraction form
    233,189.75/349,745.49 = 64,727.19/x
  3. Step 3: Cross multiply
    233,189.75x = 349,745.49 × 64,727.19
  4. Step 4: Simplify right side
    233,189.75x = 22,638,042,782.87
  5. Step 5: Solve for x
    x = 22,638,042,782.87/233,189.75
  6. Step 6: Final answer
    x = 97,079.92

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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.