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Finding the Fourth Proportional to 201,336.80, 301,348.04 and 148,014.65

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Solution

The fourth proportional to 201,336.80, 301,348.04 and 148,014.65 is: 221,538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,336.80 : 301,348.04 = 148,014.65 : x
  2. Step 2: Convert to fraction form
    201,336.80/301,348.04 = 148,014.65/x
  3. Step 3: Cross multiply
    201,336.80x = 301,348.04 × 148,014.65
  4. Step 4: Simplify right side
    201,336.80x = 44,603,922,421.97
  5. Step 5: Solve for x
    x = 44,603,922,421.97/201,336.80
  6. Step 6: Final answer
    x = 221,538.85

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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.