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Finding the Fourth Proportional to 189,933.94, 262,189.54 and 118,349.34

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Solution

The fourth proportional to 189,933.94, 262,189.54 and 118,349.34 is: 163,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,933.94 : 262,189.54 = 118,349.34 : x
  2. Step 2: Convert to fraction form
    189,933.94/262,189.54 = 118,349.34/x
  3. Step 3: Cross multiply
    189,933.94x = 262,189.54 × 118,349.34
  4. Step 4: Simplify right side
    189,933.94x = 31,029,959,013.90
  5. Step 5: Solve for x
    x = 31,029,959,013.90/189,933.94
  6. Step 6: Final answer
    x = 163,372.38

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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.