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Finding the Fourth Proportional to 201,097.60, 301,732.80 and 102,601.60

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Solution

The fourth proportional to 201,097.60, 301,732.80 and 102,601.60 is: 153,946.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,097.60 : 301,732.80 = 102,601.60 : x
  2. Step 2: Convert to fraction form
    201,097.60/301,732.80 = 102,601.60/x
  3. Step 3: Cross multiply
    201,097.60x = 301,732.80 × 102,601.60
  4. Step 4: Simplify right side
    201,097.60x = 30,958,268,052.48
  5. Step 5: Solve for x
    x = 30,958,268,052.48/201,097.60
  6. Step 6: Final answer
    x = 153,946.48

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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.