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Finding the Fourth Proportional to 208,592.68, 287,859.80 and 113,099.62

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Solution

The fourth proportional to 208,592.68, 287,859.80 and 113,099.62 is: 156,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,592.68 : 287,859.80 = 113,099.62 : x
  2. Step 2: Convert to fraction form
    208,592.68/287,859.80 = 113,099.62/x
  3. Step 3: Cross multiply
    208,592.68x = 287,859.80 × 113,099.62
  4. Step 4: Simplify right side
    208,592.68x = 32,556,831,988.48
  5. Step 5: Solve for x
    x = 32,556,831,988.48/208,592.68
  6. Step 6: Final answer
    x = 156,078.50

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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.