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Finding the Fourth Proportional to 451,920.93, 677,878.44 and 114,958.71

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Solution

The fourth proportional to 451,920.93, 677,878.44 and 114,958.71 is: 172,437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,920.93 : 677,878.44 = 114,958.71 : x
  2. Step 2: Convert to fraction form
    451,920.93/677,878.44 = 114,958.71/x
  3. Step 3: Cross multiply
    451,920.93x = 677,878.44 × 114,958.71
  4. Step 4: Simplify right side
    451,920.93x = 77,928,030,999.21
  5. Step 5: Solve for x
    x = 77,928,030,999.21/451,920.93
  6. Step 6: Final answer
    x = 172,437.31

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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.