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Finding the Fourth Proportional to 189,706.77, 261,793.49 and 104,822.01

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Solution

The fourth proportional to 189,706.77, 261,793.49 and 104,822.01 is: 144,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,706.77 : 261,793.49 = 104,822.01 : x
  2. Step 2: Convert to fraction form
    189,706.77/261,793.49 = 104,822.01/x
  3. Step 3: Cross multiply
    189,706.77x = 261,793.49 × 104,822.01
  4. Step 4: Simplify right side
    189,706.77x = 27,441,719,302.60
  5. Step 5: Solve for x
    x = 27,441,719,302.60/189,706.77
  6. Step 6: Final answer
    x = 144,653.35

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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.