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Finding the Fourth Proportional to 266,046, 367,143.96 and 146,814

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Solution

The fourth proportional to 266,046, 367,143.96 and 146,814 is: 202,603.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,046 : 367,143.96 = 146,814 : x
  2. Step 2: Convert to fraction form
    266,046/367,143.96 = 146,814/x
  3. Step 3: Cross multiply
    266,046x = 367,143.96 × 146,814
  4. Step 4: Simplify right side
    266,046x = 53,901,873,343.44
  5. Step 5: Solve for x
    x = 53,901,873,343.44/266,046
  6. Step 6: Final answer
    x = 202,603.58

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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.