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Finding the Fourth Proportional to 149,111, 205,773.18 and 82,043

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Solution

The fourth proportional to 149,111, 205,773.18 and 82,043 is: 113,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,111 : 205,773.18 = 82,043 : x
  2. Step 2: Convert to fraction form
    149,111/205,773.18 = 82,043/x
  3. Step 3: Cross multiply
    149,111x = 205,773.18 × 82,043
  4. Step 4: Simplify right side
    149,111x = 16,882,249,006.74
  5. Step 5: Solve for x
    x = 16,882,249,006.74/149,111
  6. Step 6: Final answer
    x = 113,219.34

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Why These Related Problems?

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