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Finding the Fourth Proportional to 145,860.37, 201,287.29 and 82,200.44

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Solution

The fourth proportional to 145,860.37, 201,287.29 and 82,200.44 is: 113,436.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,860.37 : 201,287.29 = 82,200.44 : x
  2. Step 2: Convert to fraction form
    145,860.37/201,287.29 = 82,200.44/x
  3. Step 3: Cross multiply
    145,860.37x = 201,287.29 × 82,200.44
  4. Step 4: Simplify right side
    145,860.37x = 16,545,903,804.41
  5. Step 5: Solve for x
    x = 16,545,903,804.41/145,860.37
  6. Step 6: Final answer
    x = 113,436.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.