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Finding the Fourth Proportional to 102,103.28, 153,137.64 and 28,214

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Solution

The fourth proportional to 102,103.28, 153,137.64 and 28,214 is: 42,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,103.28 : 153,137.64 = 28,214 : x
  2. Step 2: Convert to fraction form
    102,103.28/153,137.64 = 28,214/x
  3. Step 3: Cross multiply
    102,103.28x = 153,137.64 × 28,214
  4. Step 4: Simplify right side
    102,103.28x = 4,320,625,374.96
  5. Step 5: Solve for x
    x = 4,320,625,374.96/102,103.28
  6. Step 6: Final answer
    x = 42,316.23

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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.