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Finding the Fourth Proportional to 401,464.60, 602,196.90 and 135,136.60

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Solution

The fourth proportional to 401,464.60, 602,196.90 and 135,136.60 is: 202,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,464.60 : 602,196.90 = 135,136.60 : x
  2. Step 2: Convert to fraction form
    401,464.60/602,196.90 = 135,136.60/x
  3. Step 3: Cross multiply
    401,464.60x = 602,196.90 × 135,136.60
  4. Step 4: Simplify right side
    401,464.60x = 81,378,841,596.54
  5. Step 5: Solve for x
    x = 81,378,841,596.54/401,464.60
  6. Step 6: Final answer
    x = 202,704.90

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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.