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Finding the Fourth Proportional to 208,594.54, 287,857.68 and 113,099.18

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Solution

The fourth proportional to 208,594.54, 287,857.68 and 113,099.18 is: 156,075.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,594.54 : 287,857.68 = 113,099.18 : x
  2. Step 2: Convert to fraction form
    208,594.54/287,857.68 = 113,099.18/x
  3. Step 3: Cross multiply
    208,594.54x = 287,857.68 × 113,099.18
  4. Step 4: Simplify right side
    208,594.54x = 32,556,467,564.70
  5. Step 5: Solve for x
    x = 32,556,467,564.70/208,594.54
  6. Step 6: Final answer
    x = 156,075.36

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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.