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Finding the Fourth Proportional to 233,885.40, 350,850.22 and 65,405.72

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Solution

The fourth proportional to 233,885.40, 350,850.22 and 65,405.72 is: 98,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,885.40 : 350,850.22 = 65,405.72 : x
  2. Step 2: Convert to fraction form
    233,885.40/350,850.22 = 65,405.72/x
  3. Step 3: Cross multiply
    233,885.40x = 350,850.22 × 65,405.72
  4. Step 4: Simplify right side
    233,885.40x = 22,947,611,251.26
  5. Step 5: Solve for x
    x = 22,947,611,251.26/233,885.40
  6. Step 6: Final answer
    x = 98,114.77

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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.