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Finding the Fourth Proportional to 233,659.96, 350,492.75 and 65,170.03

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Solution

The fourth proportional to 233,659.96, 350,492.75 and 65,170.03 is: 97,755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,659.96 : 350,492.75 = 65,170.03 : x
  2. Step 2: Convert to fraction form
    233,659.96/350,492.75 = 65,170.03/x
  3. Step 3: Cross multiply
    233,659.96x = 350,492.75 × 65,170.03
  4. Step 4: Simplify right side
    233,659.96x = 22,841,621,279.82
  5. Step 5: Solve for x
    x = 22,841,621,279.82/233,659.96
  6. Step 6: Final answer
    x = 97,755.82

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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.