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Finding the Fourth Proportional to 265,223.75, 397,831.73 and 65,544.13

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Solution

The fourth proportional to 265,223.75, 397,831.73 and 65,544.13 is: 98,315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,223.75 : 397,831.73 = 65,544.13 : x
  2. Step 2: Convert to fraction form
    265,223.75/397,831.73 = 65,544.13/x
  3. Step 3: Cross multiply
    265,223.75x = 397,831.73 × 65,544.13
  4. Step 4: Simplify right side
    265,223.75x = 26,075,534,629.24
  5. Step 5: Solve for x
    x = 26,075,534,629.24/265,223.75
  6. Step 6: Final answer
    x = 98,315.23

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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.