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Finding the Fourth Proportional to 201,017.22, 301,516.08 and 76,348.50

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Solution

The fourth proportional to 201,017.22, 301,516.08 and 76,348.50 is: 114,519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,017.22 : 301,516.08 = 76,348.50 : x
  2. Step 2: Convert to fraction form
    201,017.22/301,516.08 = 76,348.50/x
  3. Step 3: Cross multiply
    201,017.22x = 301,516.08 × 76,348.50
  4. Step 4: Simplify right side
    201,017.22x = 23,020,300,433.88
  5. Step 5: Solve for x
    x = 23,020,300,433.88/201,017.22
  6. Step 6: Final answer
    x = 114,519.05

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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.