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Finding the Fourth Proportional to 141,162.32, 194,792.40 and 77,497.92

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Solution

The fourth proportional to 141,162.32, 194,792.40 and 77,497.92 is: 106,940.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,162.32 : 194,792.40 = 77,497.92 : x
  2. Step 2: Convert to fraction form
    141,162.32/194,792.40 = 77,497.92/x
  3. Step 3: Cross multiply
    141,162.32x = 194,792.40 × 77,497.92
  4. Step 4: Simplify right side
    141,162.32x = 15,096,005,831.81
  5. Step 5: Solve for x
    x = 15,096,005,831.81/141,162.32
  6. Step 6: Final answer
    x = 106,940.76

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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.