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Finding the Fourth Proportional to 213,005.10, 293,947.02 and 117,511.80

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Solution

The fourth proportional to 213,005.10, 293,947.02 and 117,511.80 is: 162,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,005.10 : 293,947.02 = 117,511.80 : x
  2. Step 2: Convert to fraction form
    213,005.10/293,947.02 = 117,511.80/x
  3. Step 3: Cross multiply
    213,005.10x = 293,947.02 × 117,511.80
  4. Step 4: Simplify right side
    213,005.10x = 34,542,243,424.84
  5. Step 5: Solve for x
    x = 34,542,243,424.84/213,005.10
  6. Step 6: Final answer
    x = 162,166.27

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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.