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Finding the Fourth Proportional to 201,102.40, 301,653.60 and 133,742.80

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Solution

The fourth proportional to 201,102.40, 301,653.60 and 133,742.80 is: 200,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,102.40 : 301,653.60 = 133,742.80 : x
  2. Step 2: Convert to fraction form
    201,102.40/301,653.60 = 133,742.80/x
  3. Step 3: Cross multiply
    201,102.40x = 301,653.60 × 133,742.80
  4. Step 4: Simplify right side
    201,102.40x = 40,343,997,094.08
  5. Step 5: Solve for x
    x = 40,343,997,094.08/201,102.40
  6. Step 6: Final answer
    x = 200,614.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.