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Finding the Fourth Proportional to 189,111, 283,475.06 and 122,593.36

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Solution

The fourth proportional to 189,111, 283,475.06 and 122,593.36 is: 183,765.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,111 : 283,475.06 = 122,593.36 : x
  2. Step 2: Convert to fraction form
    189,111/283,475.06 = 122,593.36/x
  3. Step 3: Cross multiply
    189,111x = 283,475.06 × 122,593.36
  4. Step 4: Simplify right side
    189,111x = 34,752,160,081.60
  5. Step 5: Solve for x
    x = 34,752,160,081.60/189,111
  6. Step 6: Final answer
    x = 183,765.94

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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.