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Finding the Fourth Proportional to 189,383.44, 284,057.88 and 174,534.16

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Solution

The fourth proportional to 189,383.44, 284,057.88 and 174,534.16 is: 261,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,383.44 : 284,057.88 = 174,534.16 : x
  2. Step 2: Convert to fraction form
    189,383.44/284,057.88 = 174,534.16/x
  3. Step 3: Cross multiply
    189,383.44x = 284,057.88 × 174,534.16
  4. Step 4: Simplify right side
    189,383.44x = 49,577,803,477.18
  5. Step 5: Solve for x
    x = 49,577,803,477.18/189,383.44
  6. Step 6: Final answer
    x = 261,785.31

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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.