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Finding the Fourth Proportional to 189,762.16, 284,249.56 and 110,636.40

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Solution

The fourth proportional to 189,762.16, 284,249.56 and 110,636.40 is: 165,725.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,762.16 : 284,249.56 = 110,636.40 : x
  2. Step 2: Convert to fraction form
    189,762.16/284,249.56 = 110,636.40/x
  3. Step 3: Cross multiply
    189,762.16x = 284,249.56 × 110,636.40
  4. Step 4: Simplify right side
    189,762.16x = 31,448,348,019.98
  5. Step 5: Solve for x
    x = 31,448,348,019.98/189,762.16
  6. Step 6: Final answer
    x = 165,725.07

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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.