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Finding the Fourth Proportional to 102,706.10, 154,059.15 and 28,834.10

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Solution

The fourth proportional to 102,706.10, 154,059.15 and 28,834.10 is: 43,251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,706.10 : 154,059.15 = 28,834.10 : x
  2. Step 2: Convert to fraction form
    102,706.10/154,059.15 = 28,834.10/x
  3. Step 3: Cross multiply
    102,706.10x = 154,059.15 × 28,834.10
  4. Step 4: Simplify right side
    102,706.10x = 4,442,156,937.02
  5. Step 5: Solve for x
    x = 4,442,156,937.02/102,706.10
  6. Step 6: Final answer
    x = 43,251.15

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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.