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Finding the Fourth Proportional to 289,626.16, 434,497.24 and 100,093.44

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Solution

The fourth proportional to 289,626.16, 434,497.24 and 100,093.44 is: 150,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,626.16 : 434,497.24 = 100,093.44 : x
  2. Step 2: Convert to fraction form
    289,626.16/434,497.24 = 100,093.44/x
  3. Step 3: Cross multiply
    289,626.16x = 434,497.24 × 100,093.44
  4. Step 4: Simplify right side
    289,626.16x = 43,490,323,422.11
  5. Step 5: Solve for x
    x = 43,490,323,422.11/289,626.16
  6. Step 6: Final answer
    x = 150,160.20

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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.