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Finding the Fourth Proportional to 235,831.88, 353,674.92 and 78,027.68

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Solution

The fourth proportional to 235,831.88, 353,674.92 and 78,027.68 is: 117,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,831.88 : 353,674.92 = 78,027.68 : x
  2. Step 2: Convert to fraction form
    235,831.88/353,674.92 = 78,027.68/x
  3. Step 3: Cross multiply
    235,831.88x = 353,674.92 × 78,027.68
  4. Step 4: Simplify right side
    235,831.88x = 27,596,433,481.79
  5. Step 5: Solve for x
    x = 27,596,433,481.79/235,831.88
  6. Step 6: Final answer
    x = 117,017.40

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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.