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Finding the Fourth Proportional to 102,094.20, 152,834.10 and 89,806.20

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Solution

The fourth proportional to 102,094.20, 152,834.10 and 89,806.20 is: 134,439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,094.20 : 152,834.10 = 89,806.20 : x
  2. Step 2: Convert to fraction form
    102,094.20/152,834.10 = 89,806.20/x
  3. Step 3: Cross multiply
    102,094.20x = 152,834.10 × 89,806.20
  4. Step 4: Simplify right side
    102,094.20x = 13,725,449,751.42
  5. Step 5: Solve for x
    x = 13,725,449,751.42/102,094.20
  6. Step 6: Final answer
    x = 134,439.07

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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.