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Finding the Fourth Proportional to 262,515.75, 393,831.95 and 96,303.75

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Solution

The fourth proportional to 262,515.75, 393,831.95 and 96,303.75 is: 144,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,515.75 : 393,831.95 = 96,303.75 : x
  2. Step 2: Convert to fraction form
    262,515.75/393,831.95 = 96,303.75/x
  3. Step 3: Cross multiply
    262,515.75x = 393,831.95 × 96,303.75
  4. Step 4: Simplify right side
    262,515.75x = 37,927,493,173.29
  5. Step 5: Solve for x
    x = 37,927,493,173.29/262,515.75
  6. Step 6: Final answer
    x = 144,477.02

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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.