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Finding the Fourth Proportional to 356,799.30, 534,745.35 and 146,199.30

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Solution

The fourth proportional to 356,799.30, 534,745.35 and 146,199.30 is: 219,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,799.30 : 534,745.35 = 146,199.30 : x
  2. Step 2: Convert to fraction form
    356,799.30/534,745.35 = 146,199.30/x
  3. Step 3: Cross multiply
    356,799.30x = 534,745.35 × 146,199.30
  4. Step 4: Simplify right side
    356,799.30x = 78,179,395,848.26
  5. Step 5: Solve for x
    x = 78,179,395,848.26/356,799.30
  6. Step 6: Final answer
    x = 219,113.09

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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.