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Finding the Fourth Proportional to 233,690.50, 322,492.89 and 126,260.56

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Solution

The fourth proportional to 233,690.50, 322,492.89 and 126,260.56 is: 174,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,690.50 : 322,492.89 = 126,260.56 : x
  2. Step 2: Convert to fraction form
    233,690.50/322,492.89 = 126,260.56/x
  3. Step 3: Cross multiply
    233,690.50x = 322,492.89 × 126,260.56
  4. Step 4: Simplify right side
    233,690.50x = 40,718,132,887.42
  5. Step 5: Solve for x
    x = 40,718,132,887.42/233,690.50
  6. Step 6: Final answer
    x = 174,239.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.