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Finding the Fourth Proportional to 189,693.76, 261,782.67 and 104,816.29

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Solution

The fourth proportional to 189,693.76, 261,782.67 and 104,816.29 is: 144,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,693.76 : 261,782.67 = 104,816.29 : x
  2. Step 2: Convert to fraction form
    189,693.76/261,782.67 = 104,816.29/x
  3. Step 3: Cross multiply
    189,693.76x = 261,782.67 × 104,816.29
  4. Step 4: Simplify right side
    189,693.76x = 27,439,088,255.69
  5. Step 5: Solve for x
    x = 27,439,088,255.69/189,693.76
  6. Step 6: Final answer
    x = 144,649.40

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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.