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Finding the Fourth Proportional to 96,406.62, 144,831.93 and 68,396.22

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Solution

The fourth proportional to 96,406.62, 144,831.93 and 68,396.22 is: 102,751.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,406.62 : 144,831.93 = 68,396.22 : x
  2. Step 2: Convert to fraction form
    96,406.62/144,831.93 = 68,396.22/x
  3. Step 3: Cross multiply
    96,406.62x = 144,831.93 × 68,396.22
  4. Step 4: Simplify right side
    96,406.62x = 9,905,956,547.30
  5. Step 5: Solve for x
    x = 9,905,956,547.30/96,406.62
  6. Step 6: Final answer
    x = 102,751.83

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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.