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Finding the Fourth Proportional to 146,649.69, 202,374.95 and 82,119.51

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Solution

The fourth proportional to 146,649.69, 202,374.95 and 82,119.51 is: 113,324.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,649.69 : 202,374.95 = 82,119.51 : x
  2. Step 2: Convert to fraction form
    146,649.69/202,374.95 = 82,119.51/x
  3. Step 3: Cross multiply
    146,649.69x = 202,374.95 × 82,119.51
  4. Step 4: Simplify right side
    146,649.69x = 16,618,931,319.68
  5. Step 5: Solve for x
    x = 16,618,931,319.68/146,649.69
  6. Step 6: Final answer
    x = 113,324.01

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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.