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Finding the Fourth Proportional to 266,962.68, 368,408.65 and 146,103.90

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Solution

The fourth proportional to 266,962.68, 368,408.65 and 146,103.90 is: 201,623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,962.68 : 368,408.65 = 146,103.90 : x
  2. Step 2: Convert to fraction form
    266,962.68/368,408.65 = 146,103.90/x
  3. Step 3: Cross multiply
    266,962.68x = 368,408.65 × 146,103.90
  4. Step 4: Simplify right side
    266,962.68x = 53,825,940,558.74
  5. Step 5: Solve for x
    x = 53,825,940,558.74/266,962.68
  6. Step 6: Final answer
    x = 201,623.46

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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.