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Finding the Fourth Proportional to 107,164.74, 160,731.32 and 28,284.51

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Solution

The fourth proportional to 107,164.74, 160,731.32 and 28,284.51 is: 42,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,164.74 : 160,731.32 = 28,284.51 : x
  2. Step 2: Convert to fraction form
    107,164.74/160,731.32 = 28,284.51/x
  3. Step 3: Cross multiply
    107,164.74x = 160,731.32 × 28,284.51
  4. Step 4: Simplify right side
    107,164.74x = 4,546,206,486.43
  5. Step 5: Solve for x
    x = 4,546,206,486.43/107,164.74
  6. Step 6: Final answer
    x = 42,422.60

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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.