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Finding the Fourth Proportional to 107,201.30, 160,809.69 and 28,314.50

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Solution

The fourth proportional to 107,201.30, 160,809.69 and 28,314.50 is: 42,473.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,201.30 : 160,809.69 = 28,314.50 : x
  2. Step 2: Convert to fraction form
    107,201.30/160,809.69 = 28,314.50/x
  3. Step 3: Cross multiply
    107,201.30x = 160,809.69 × 28,314.50
  4. Step 4: Simplify right side
    107,201.30x = 4,553,245,967.51
  5. Step 5: Solve for x
    x = 4,553,245,967.51/107,201.30
  6. Step 6: Final answer
    x = 42,473.79

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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.