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Finding the Fourth Proportional to 96,809.84, 145,127.28 and 67,241.60

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Solution

The fourth proportional to 96,809.84, 145,127.28 and 67,241.60 is: 100,801.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,809.84 : 145,127.28 = 67,241.60 : x
  2. Step 2: Convert to fraction form
    96,809.84/145,127.28 = 67,241.60/x
  3. Step 3: Cross multiply
    96,809.84x = 145,127.28 × 67,241.60
  4. Step 4: Simplify right side
    96,809.84x = 9,758,590,510.85
  5. Step 5: Solve for x
    x = 9,758,590,510.85/96,809.84
  6. Step 6: Final answer
    x = 100,801.64

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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.