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Finding the Fourth Proportional to 233,564.31, 350,314.74 and 91,310.63

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Solution

The fourth proportional to 233,564.31, 350,314.74 and 91,310.63 is: 136,953.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,564.31 : 350,314.74 = 91,310.63 : x
  2. Step 2: Convert to fraction form
    233,564.31/350,314.74 = 91,310.63/x
  3. Step 3: Cross multiply
    233,564.31x = 350,314.74 × 91,310.63
  4. Step 4: Simplify right side
    233,564.31x = 31,987,457,856.11
  5. Step 5: Solve for x
    x = 31,987,457,856.11/233,564.31
  6. Step 6: Final answer
    x = 136,953.53

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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.