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Finding the Fourth Proportional to 208,512.15, 287,777.51 and 132,038.22

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Solution

The fourth proportional to 208,512.15, 287,777.51 and 132,038.22 is: 182,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,512.15 : 287,777.51 = 132,038.22 : x
  2. Step 2: Convert to fraction form
    208,512.15/287,777.51 = 132,038.22/x
  3. Step 3: Cross multiply
    208,512.15x = 287,777.51 × 132,038.22
  4. Step 4: Simplify right side
    208,512.15x = 37,997,630,176.43
  5. Step 5: Solve for x
    x = 37,997,630,176.43/208,512.15
  6. Step 6: Final answer
    x = 182,232.21

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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.