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Finding the Fourth Proportional to 200,977.58, 301,072.26 and 116,560.45

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Solution

The fourth proportional to 200,977.58, 301,072.26 and 116,560.45 is: 174,612.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,977.58 : 301,072.26 = 116,560.45 : x
  2. Step 2: Convert to fraction form
    200,977.58/301,072.26 = 116,560.45/x
  3. Step 3: Cross multiply
    200,977.58x = 301,072.26 × 116,560.45
  4. Step 4: Simplify right side
    200,977.58x = 35,093,118,108.12
  5. Step 5: Solve for x
    x = 35,093,118,108.12/200,977.58
  6. Step 6: Final answer
    x = 174,612.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.