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Finding the Fourth Proportional to 208,539.52, 287,786.59 and 113,045.99

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Solution

The fourth proportional to 208,539.52, 287,786.59 and 113,045.99 is: 156,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,539.52 : 287,786.59 = 113,045.99 : x
  2. Step 2: Convert to fraction form
    208,539.52/287,786.59 = 113,045.99/x
  3. Step 3: Cross multiply
    208,539.52x = 287,786.59 × 113,045.99
  4. Step 4: Simplify right side
    208,539.52x = 32,533,118,253.73
  5. Step 5: Solve for x
    x = 32,533,118,253.73/208,539.52
  6. Step 6: Final answer
    x = 156,004.57

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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.