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Finding the Fourth Proportional to 134,318.25, 201,477.38 and 40,824

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Solution

The fourth proportional to 134,318.25, 201,477.38 and 40,824 is: 61,236

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,318.25 : 201,477.38 = 40,824 : x
  2. Step 2: Convert to fraction form
    134,318.25/201,477.38 = 40,824/x
  3. Step 3: Cross multiply
    134,318.25x = 201,477.38 × 40,824
  4. Step 4: Simplify right side
    134,318.25x = 8,225,112,357
  5. Step 5: Solve for x
    x = 8,225,112,357/134,318.25
  6. Step 6: Final answer
    x = 61,236

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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.