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Finding the Fourth Proportional to 189,780, 261,896.40 and 114,344.16

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Solution

The fourth proportional to 189,780, 261,896.40 and 114,344.16 is: 157,794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,780 : 261,896.40 = 114,344.16 : x
  2. Step 2: Convert to fraction form
    189,780/261,896.40 = 114,344.16/x
  3. Step 3: Cross multiply
    189,780x = 261,896.40 × 114,344.16
  4. Step 4: Simplify right side
    189,780x = 29,946,323,865.02
  5. Step 5: Solve for x
    x = 29,946,323,865.02/189,780
  6. Step 6: Final answer
    x = 157,794.94

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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.