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Finding the Fourth Proportional to 208,522.84, 287,761.86 and 113,029.48

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Solution

The fourth proportional to 208,522.84, 287,761.86 and 113,029.48 is: 155,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,522.84 : 287,761.86 = 113,029.48 : x
  2. Step 2: Convert to fraction form
    208,522.84/287,761.86 = 113,029.48/x
  3. Step 3: Cross multiply
    208,522.84x = 287,761.86 × 113,029.48
  4. Step 4: Simplify right side
    208,522.84x = 32,525,573,399.63
  5. Step 5: Solve for x
    x = 32,525,573,399.63/208,522.84
  6. Step 6: Final answer
    x = 155,980.87

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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.