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Finding the Fourth Proportional to 139,584.54, 209,297.47 and 95,264.98

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Solution

The fourth proportional to 139,584.54, 209,297.47 and 95,264.98 is: 142,843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,584.54 : 209,297.47 = 95,264.98 : x
  2. Step 2: Convert to fraction form
    139,584.54/209,297.47 = 95,264.98/x
  3. Step 3: Cross multiply
    139,584.54x = 209,297.47 × 95,264.98
  4. Step 4: Simplify right side
    139,584.54x = 19,938,719,293.60
  5. Step 5: Solve for x
    x = 19,938,719,293.60/139,584.54
  6. Step 6: Final answer
    x = 142,843.32

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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.