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Finding the Fourth Proportional to 208,407.52, 287,613.55 and 117,767.31

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Solution

The fourth proportional to 208,407.52, 287,613.55 and 117,767.31 is: 162,525.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,407.52 : 287,613.55 = 117,767.31 : x
  2. Step 2: Convert to fraction form
    208,407.52/287,613.55 = 117,767.31/x
  3. Step 3: Cross multiply
    208,407.52x = 287,613.55 × 117,767.31
  4. Step 4: Simplify right side
    208,407.52x = 33,871,474,103.05
  5. Step 5: Solve for x
    x = 33,871,474,103.05/208,407.52
  6. Step 6: Final answer
    x = 162,525.20

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