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Finding the Fourth Proportional to 208,986.52, 287,745.86 and 184,432.20

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Solution

The fourth proportional to 208,986.52, 287,745.86 and 184,432.20 is: 253,937.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,986.52 : 287,745.86 = 184,432.20 : x
  2. Step 2: Convert to fraction form
    208,986.52/287,745.86 = 184,432.20/x
  3. Step 3: Cross multiply
    208,986.52x = 287,745.86 × 184,432.20
  4. Step 4: Simplify right side
    208,986.52x = 53,069,602,000.69
  5. Step 5: Solve for x
    x = 53,069,602,000.69/208,986.52
  6. Step 6: Final answer
    x = 253,937.92

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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.