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Finding the Fourth Proportional to 150,104.58, 224,906.94 and 105,638.01

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Solution

The fourth proportional to 150,104.58, 224,906.94 and 105,638.01 is: 158,281.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,104.58 : 224,906.94 = 105,638.01 : x
  2. Step 2: Convert to fraction form
    150,104.58/224,906.94 = 105,638.01/x
  3. Step 3: Cross multiply
    150,104.58x = 224,906.94 × 105,638.01
  4. Step 4: Simplify right side
    150,104.58x = 23,758,721,576.79
  5. Step 5: Solve for x
    x = 23,758,721,576.79/150,104.58
  6. Step 6: Final answer
    x = 158,281.12

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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.