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Finding the Fourth Proportional to 264,831.06, 397,121.73 and 96,232.50

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Solution

The fourth proportional to 264,831.06, 397,121.73 and 96,232.50 is: 144,303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,831.06 : 397,121.73 = 96,232.50 : x
  2. Step 2: Convert to fraction form
    264,831.06/397,121.73 = 96,232.50/x
  3. Step 3: Cross multiply
    264,831.06x = 397,121.73 × 96,232.50
  4. Step 4: Simplify right side
    264,831.06x = 38,216,016,882.23
  5. Step 5: Solve for x
    x = 38,216,016,882.23/264,831.06
  6. Step 6: Final answer
    x = 144,303.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.