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Finding the Fourth Proportional to 133,915.48, 200,998.50 and 70,782.46

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Solution

The fourth proportional to 133,915.48, 200,998.50 and 70,782.46 is: 106,239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,915.48 : 200,998.50 = 70,782.46 : x
  2. Step 2: Convert to fraction form
    133,915.48/200,998.50 = 70,782.46/x
  3. Step 3: Cross multiply
    133,915.48x = 200,998.50 × 70,782.46
  4. Step 4: Simplify right side
    133,915.48x = 14,227,168,286.31
  5. Step 5: Solve for x
    x = 14,227,168,286.31/133,915.48
  6. Step 6: Final answer
    x = 106,239.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.