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Finding the Fourth Proportional to 266,682.84, 400,013.58 and 146,977.08

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Solution

The fourth proportional to 266,682.84, 400,013.58 and 146,977.08 is: 220,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,682.84 : 400,013.58 = 146,977.08 : x
  2. Step 2: Convert to fraction form
    266,682.84/400,013.58 = 146,977.08/x
  3. Step 3: Cross multiply
    266,682.84x = 400,013.58 × 146,977.08
  4. Step 4: Simplify right side
    266,682.84x = 58,792,827,948.75
  5. Step 5: Solve for x
    x = 58,792,827,948.75/266,682.84
  6. Step 6: Final answer
    x = 220,459.73

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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.