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Finding the Fourth Proportional to 266,433.87, 367,678.17 and 145,576.02

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Solution

The fourth proportional to 266,433.87, 367,678.17 and 145,576.02 is: 200,894.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,433.87 : 367,678.17 = 145,576.02 : x
  2. Step 2: Convert to fraction form
    266,433.87/367,678.17 = 145,576.02/x
  3. Step 3: Cross multiply
    266,433.87x = 367,678.17 × 145,576.02
  4. Step 4: Simplify right side
    266,433.87x = 53,525,124,629.48
  5. Step 5: Solve for x
    x = 53,525,124,629.48/266,433.87
  6. Step 6: Final answer
    x = 200,894.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.