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Finding the Fourth Proportional to 193,136.40, 289,704.60 and 162,032.40

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Solution

The fourth proportional to 193,136.40, 289,704.60 and 162,032.40 is: 243,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,136.40 : 289,704.60 = 162,032.40 : x
  2. Step 2: Convert to fraction form
    193,136.40/289,704.60 = 162,032.40/x
  3. Step 3: Cross multiply
    193,136.40x = 289,704.60 × 162,032.40
  4. Step 4: Simplify right side
    193,136.40x = 46,941,531,629.04
  5. Step 5: Solve for x
    x = 46,941,531,629.04/193,136.40
  6. Step 6: Final answer
    x = 243,048.60

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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.