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Finding the Fourth Proportional to 188,305.98, 282,468.69 and 48,065.82

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Solution

The fourth proportional to 188,305.98, 282,468.69 and 48,065.82 is: 72,101.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,305.98 : 282,468.69 = 48,065.82 : x
  2. Step 2: Convert to fraction form
    188,305.98/282,468.69 = 48,065.82/x
  3. Step 3: Cross multiply
    188,305.98x = 282,468.69 × 48,065.82
  4. Step 4: Simplify right side
    188,305.98x = 13,577,089,209.18
  5. Step 5: Solve for x
    x = 13,577,089,209.18/188,305.98
  6. Step 6: Final answer
    x = 72,101.21

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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.