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Finding the Fourth Proportional to 102,765, 154,147.56 and 28,893

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Solution

The fourth proportional to 102,765, 154,147.56 and 28,893 is: 43,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,765 : 154,147.56 = 28,893 : x
  2. Step 2: Convert to fraction form
    102,765/154,147.56 = 28,893/x
  3. Step 3: Cross multiply
    102,765x = 154,147.56 × 28,893
  4. Step 4: Simplify right side
    102,765x = 4,453,785,451.08
  5. Step 5: Solve for x
    x = 4,453,785,451.08/102,765
  6. Step 6: Final answer
    x = 43,339.52

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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.