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Finding the Fourth Proportional to 188,058.58, 282,097.28 and 61,687.64

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Solution

The fourth proportional to 188,058.58, 282,097.28 and 61,687.64 is: 92,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,058.58 : 282,097.28 = 61,687.64 : x
  2. Step 2: Convert to fraction form
    188,058.58/282,097.28 = 61,687.64/x
  3. Step 3: Cross multiply
    188,058.58x = 282,097.28 × 61,687.64
  4. Step 4: Simplify right side
    188,058.58x = 17,401,916,313.08
  5. Step 5: Solve for x
    x = 17,401,916,313.08/188,058.58
  6. Step 6: Final answer
    x = 92,534.55

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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.