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Finding the Fourth Proportional to 201,741.60, 302,612.40 and 162,375.60

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Solution

The fourth proportional to 201,741.60, 302,612.40 and 162,375.60 is: 243,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,741.60 : 302,612.40 = 162,375.60 : x
  2. Step 2: Convert to fraction form
    201,741.60/302,612.40 = 162,375.60/x
  3. Step 3: Cross multiply
    201,741.60x = 302,612.40 × 162,375.60
  4. Step 4: Simplify right side
    201,741.60x = 49,136,870,017.44
  5. Step 5: Solve for x
    x = 49,136,870,017.44/201,741.60
  6. Step 6: Final answer
    x = 243,563.40

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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.