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Finding the Fourth Proportional to 150,093.84, 224,890.80 and 105,627.24

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Solution

The fourth proportional to 150,093.84, 224,890.80 and 105,627.24 is: 158,264.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,093.84 : 224,890.80 = 105,627.24 : x
  2. Step 2: Convert to fraction form
    150,093.84/224,890.80 = 105,627.24/x
  3. Step 3: Cross multiply
    150,093.84x = 224,890.80 × 105,627.24
  4. Step 4: Simplify right side
    150,093.84x = 23,754,594,505.39
  5. Step 5: Solve for x
    x = 23,754,594,505.39/150,093.84
  6. Step 6: Final answer
    x = 158,264.95

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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.