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Finding the Fourth Proportional to 188,734.82, 283,014.74 and 70,374.38

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Solution

The fourth proportional to 188,734.82, 283,014.74 and 70,374.38 is: 105,528.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,734.82 : 283,014.74 = 70,374.38 : x
  2. Step 2: Convert to fraction form
    188,734.82/283,014.74 = 70,374.38/x
  3. Step 3: Cross multiply
    188,734.82x = 283,014.74 × 70,374.38
  4. Step 4: Simplify right side
    188,734.82x = 19,916,985,619.22
  5. Step 5: Solve for x
    x = 19,916,985,619.22/188,734.82
  6. Step 6: Final answer
    x = 105,528.94

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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.