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Finding the Fourth Proportional to 146,476.49, 202,142.99 and 82,810.49

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Solution

The fourth proportional to 146,476.49, 202,142.99 and 82,810.49 is: 114,281.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,476.49 : 202,142.99 = 82,810.49 : x
  2. Step 2: Convert to fraction form
    146,476.49/202,142.99 = 82,810.49/x
  3. Step 3: Cross multiply
    146,476.49x = 202,142.99 × 82,810.49
  4. Step 4: Simplify right side
    146,476.49x = 16,739,559,248.28
  5. Step 5: Solve for x
    x = 16,739,559,248.28/146,476.49
  6. Step 6: Final answer
    x = 114,281.55

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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.