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Finding the Fourth Proportional to 196,989.84, 295,593.84 and 122,150.16

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Solution

The fourth proportional to 196,989.84, 295,593.84 and 122,150.16 is: 183,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,989.84 : 295,593.84 = 122,150.16 : x
  2. Step 2: Convert to fraction form
    196,989.84/295,593.84 = 122,150.16/x
  3. Step 3: Cross multiply
    196,989.84x = 295,593.84 × 122,150.16
  4. Step 4: Simplify right side
    196,989.84x = 36,106,834,851.01
  5. Step 5: Solve for x
    x = 36,106,834,851.01/196,989.84
  6. Step 6: Final answer
    x = 183,292.88

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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.