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Finding the Fourth Proportional to 201,902.60, 302,853.90 and 162,536.60

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Solution

The fourth proportional to 201,902.60, 302,853.90 and 162,536.60 is: 243,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,902.60 : 302,853.90 = 162,536.60 : x
  2. Step 2: Convert to fraction form
    201,902.60/302,853.90 = 162,536.60/x
  3. Step 3: Cross multiply
    201,902.60x = 302,853.90 × 162,536.60
  4. Step 4: Simplify right side
    201,902.60x = 49,224,843,202.74
  5. Step 5: Solve for x
    x = 49,224,843,202.74/201,902.60
  6. Step 6: Final answer
    x = 243,804.90

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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.