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Finding the Fourth Proportional to 356,801.80, 534,749.10 and 146,201.80

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Solution

The fourth proportional to 356,801.80, 534,749.10 and 146,201.80 is: 219,116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,801.80 : 534,749.10 = 146,201.80 : x
  2. Step 2: Convert to fraction form
    356,801.80/534,749.10 = 146,201.80/x
  3. Step 3: Cross multiply
    356,801.80x = 534,749.10 × 146,201.80
  4. Step 4: Simplify right side
    356,801.80x = 78,181,280,968.38
  5. Step 5: Solve for x
    x = 78,181,280,968.38/356,801.80
  6. Step 6: Final answer
    x = 219,116.83

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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.