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Finding the Fourth Proportional to 208,295.22, 287,450.19 and 116,410.47

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Solution

The fourth proportional to 208,295.22, 287,450.19 and 116,410.47 is: 160,648.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,295.22 : 287,450.19 = 116,410.47 : x
  2. Step 2: Convert to fraction form
    208,295.22/287,450.19 = 116,410.47/x
  3. Step 3: Cross multiply
    208,295.22x = 287,450.19 × 116,410.47
  4. Step 4: Simplify right side
    208,295.22x = 33,462,211,719.49
  5. Step 5: Solve for x
    x = 33,462,211,719.49/208,295.22
  6. Step 6: Final answer
    x = 160,648.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.