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Finding the Fourth Proportional to 208,081.99, 287,151.10 and 112,586.59

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Solution

The fourth proportional to 208,081.99, 287,151.10 and 112,586.59 is: 155,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,081.99 : 287,151.10 = 112,586.59 : x
  2. Step 2: Convert to fraction form
    208,081.99/287,151.10 = 112,586.59/x
  3. Step 3: Cross multiply
    208,081.99x = 287,151.10 × 112,586.59
  4. Step 4: Simplify right side
    208,081.99x = 32,329,363,163.75
  5. Step 5: Solve for x
    x = 32,329,363,163.75/208,081.99
  6. Step 6: Final answer
    x = 155,368.39

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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.