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Finding the Fourth Proportional to 201,354.72, 301,745.52 and 148,347.36

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Solution

The fourth proportional to 201,354.72, 301,745.52 and 148,347.36 is: 222,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,354.72 : 301,745.52 = 148,347.36 : x
  2. Step 2: Convert to fraction form
    201,354.72/301,745.52 = 148,347.36/x
  3. Step 3: Cross multiply
    201,354.72x = 301,745.52 × 148,347.36
  4. Step 4: Simplify right side
    201,354.72x = 44,763,151,283.83
  5. Step 5: Solve for x
    x = 44,763,151,283.83/201,354.72
  6. Step 6: Final answer
    x = 222,309.92

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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.