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Finding the Fourth Proportional to 233,216.26, 349,835.28 and 75,457.06

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Solution

The fourth proportional to 233,216.26, 349,835.28 and 75,457.06 is: 113,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,216.26 : 349,835.28 = 75,457.06 : x
  2. Step 2: Convert to fraction form
    233,216.26/349,835.28 = 75,457.06/x
  3. Step 3: Cross multiply
    233,216.26x = 349,835.28 × 75,457.06
  4. Step 4: Simplify right side
    233,216.26x = 26,397,541,713.08
  5. Step 5: Solve for x
    x = 26,397,541,713.08/233,216.26
  6. Step 6: Final answer
    x = 113,189.11

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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.