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Finding the Fourth Proportional to 233,644.84, 350,496.40 and 91,471.76

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Solution

The fourth proportional to 233,644.84, 350,496.40 and 91,471.76 is: 137,219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,644.84 : 350,496.40 = 91,471.76 : x
  2. Step 2: Convert to fraction form
    233,644.84/350,496.40 = 91,471.76/x
  3. Step 3: Cross multiply
    233,644.84x = 350,496.40 × 91,471.76
  4. Step 4: Simplify right side
    233,644.84x = 32,060,522,581.66
  5. Step 5: Solve for x
    x = 32,060,522,581.66/233,644.84
  6. Step 6: Final answer
    x = 137,219.05

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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.