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Finding the Fourth Proportional to 208,522.61, 287,760.93 and 113,029.28

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Solution

The fourth proportional to 208,522.61, 287,760.93 and 113,029.28 is: 155,980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,522.61 : 287,760.93 = 113,029.28 : x
  2. Step 2: Convert to fraction form
    208,522.61/287,760.93 = 113,029.28/x
  3. Step 3: Cross multiply
    208,522.61x = 287,760.93 × 113,029.28
  4. Step 4: Simplify right side
    208,522.61x = 32,525,410,730.03
  5. Step 5: Solve for x
    x = 32,525,410,730.03/208,522.61
  6. Step 6: Final answer
    x = 155,980.26

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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.