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Finding the Fourth Proportional to 192,447.78, 265,565.88 and 106,404.54

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Solution

The fourth proportional to 192,447.78, 265,565.88 and 106,404.54 is: 146,831.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,447.78 : 265,565.88 = 106,404.54 : x
  2. Step 2: Convert to fraction form
    192,447.78/265,565.88 = 106,404.54/x
  3. Step 3: Cross multiply
    192,447.78x = 265,565.88 × 106,404.54
  4. Step 4: Simplify right side
    192,447.78x = 28,257,415,301.10
  5. Step 5: Solve for x
    x = 28,257,415,301.10/192,447.78
  6. Step 6: Final answer
    x = 146,831.60

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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.