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Finding the Fourth Proportional to 201,303.80, 302,538.90 and 197,804.60

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Solution

The fourth proportional to 201,303.80, 302,538.90 and 197,804.60 is: 297,279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,303.80 : 302,538.90 = 197,804.60 : x
  2. Step 2: Convert to fraction form
    201,303.80/302,538.90 = 197,804.60/x
  3. Step 3: Cross multiply
    201,303.80x = 302,538.90 × 197,804.60
  4. Step 4: Simplify right side
    201,303.80x = 59,843,586,098.94
  5. Step 5: Solve for x
    x = 59,843,586,098.94/201,303.80
  6. Step 6: Final answer
    x = 297,279.96

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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.