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Finding the Fourth Proportional to 227,831.92, 341,780.64 and 70,073.68

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Solution

The fourth proportional to 227,831.92, 341,780.64 and 70,073.68 is: 105,120.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,831.92 : 341,780.64 = 70,073.68 : x
  2. Step 2: Convert to fraction form
    227,831.92/341,780.64 = 70,073.68/x
  3. Step 3: Cross multiply
    227,831.92x = 341,780.64 × 70,073.68
  4. Step 4: Simplify right side
    227,831.92x = 23,949,827,197.56
  5. Step 5: Solve for x
    x = 23,949,827,197.56/227,831.92
  6. Step 6: Final answer
    x = 105,120.60

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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.