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Finding the Fourth Proportional to 208,607.44, 287,884.05 and 117,977.02

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Solution

The fourth proportional to 208,607.44, 287,884.05 and 117,977.02 is: 162,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,607.44 : 287,884.05 = 117,977.02 : x
  2. Step 2: Convert to fraction form
    208,607.44/287,884.05 = 117,977.02/x
  3. Step 3: Cross multiply
    208,607.44x = 287,884.05 × 117,977.02
  4. Step 4: Simplify right side
    208,607.44x = 33,963,702,324.53
  5. Step 5: Solve for x
    x = 33,963,702,324.53/208,607.44
  6. Step 6: Final answer
    x = 162,811.56

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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.