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Finding the Fourth Proportional to 106,400.81, 146,831.51 and 58,653.12

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Solution

The fourth proportional to 106,400.81, 146,831.51 and 58,653.12 is: 80,940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,400.81 : 146,831.51 = 58,653.12 : x
  2. Step 2: Convert to fraction form
    106,400.81/146,831.51 = 58,653.12/x
  3. Step 3: Cross multiply
    106,400.81x = 146,831.51 × 58,653.12
  4. Step 4: Simplify right side
    106,400.81x = 8,612,125,882.55
  5. Step 5: Solve for x
    x = 8,612,125,882.55/106,400.81
  6. Step 6: Final answer
    x = 80,940.42

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1.5x scale

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.