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Finding the Fourth Proportional to 233,428.92, 350,114.22 and 64,961.88

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Solution

The fourth proportional to 233,428.92, 350,114.22 and 64,961.88 is: 97,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,428.92 : 350,114.22 = 64,961.88 : x
  2. Step 2: Convert to fraction form
    233,428.92/350,114.22 = 64,961.88/x
  3. Step 3: Cross multiply
    233,428.92x = 350,114.22 × 64,961.88
  4. Step 4: Simplify right side
    233,428.92x = 22,744,077,945.93
  5. Step 5: Solve for x
    x = 22,744,077,945.93/233,428.92
  6. Step 6: Final answer
    x = 97,434.70

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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.