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Finding the Fourth Proportional to 146,045, 219,067.50 and 35,237

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Solution

The fourth proportional to 146,045, 219,067.50 and 35,237 is: 52,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,045 : 219,067.50 = 35,237 : x
  2. Step 2: Convert to fraction form
    146,045/219,067.50 = 35,237/x
  3. Step 3: Cross multiply
    146,045x = 219,067.50 × 35,237
  4. Step 4: Simplify right side
    146,045x = 7,719,281,497.50
  5. Step 5: Solve for x
    x = 7,719,281,497.50/146,045
  6. Step 6: Final answer
    x = 52,855.50

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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.