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Finding the Fourth Proportional to 302,197.54, 452,839.60 and 202,178.69

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Solution

The fourth proportional to 302,197.54, 452,839.60 and 202,178.69 is: 302,962.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,197.54 : 452,839.60 = 202,178.69 : x
  2. Step 2: Convert to fraction form
    302,197.54/452,839.60 = 202,178.69/x
  3. Step 3: Cross multiply
    302,197.54x = 452,839.60 × 202,178.69
  4. Step 4: Simplify right side
    302,197.54x = 91,554,517,108.12
  5. Step 5: Solve for x
    x = 91,554,517,108.12/302,197.54
  6. Step 6: Final answer
    x = 302,962.48

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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.