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Finding the Fourth Proportional to 103,201.14, 154,801.85 and 28,322.31

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Solution

The fourth proportional to 103,201.14, 154,801.85 and 28,322.31 is: 42,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,201.14 : 154,801.85 = 28,322.31 : x
  2. Step 2: Convert to fraction form
    103,201.14/154,801.85 = 28,322.31/x
  3. Step 3: Cross multiply
    103,201.14x = 154,801.85 × 28,322.31
  4. Step 4: Simplify right side
    103,201.14x = 4,384,345,842.66
  5. Step 5: Solve for x
    x = 4,384,345,842.66/103,201.14
  6. Step 6: Final answer
    x = 42,483.50

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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.