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Finding the Fourth Proportional to 201,222.10, 301,833.15 and 134,737.30

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Solution

The fourth proportional to 201,222.10, 301,833.15 and 134,737.30 is: 202,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,222.10 : 301,833.15 = 134,737.30 : x
  2. Step 2: Convert to fraction form
    201,222.10/301,833.15 = 134,737.30/x
  3. Step 3: Cross multiply
    201,222.10x = 301,833.15 × 134,737.30
  4. Step 4: Simplify right side
    201,222.10x = 40,668,183,681.50
  5. Step 5: Solve for x
    x = 40,668,183,681.50/201,222.10
  6. Step 6: Final answer
    x = 202,105.95

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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.