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Finding the Fourth Proportional to 201,704.80, 302,557.20 and 61,470.40

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Solution

The fourth proportional to 201,704.80, 302,557.20 and 61,470.40 is: 92,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,704.80 : 302,557.20 = 61,470.40 : x
  2. Step 2: Convert to fraction form
    201,704.80/302,557.20 = 61,470.40/x
  3. Step 3: Cross multiply
    201,704.80x = 302,557.20 × 61,470.40
  4. Step 4: Simplify right side
    201,704.80x = 18,598,312,106.88
  5. Step 5: Solve for x
    x = 18,598,312,106.88/201,704.80
  6. Step 6: Final answer
    x = 92,205.60

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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.