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Finding the Fourth Proportional to 213,983.66, 295,293.83 and 118,488.30

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Solution

The fourth proportional to 213,983.66, 295,293.83 and 118,488.30 is: 163,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,983.66 : 295,293.83 = 118,488.30 : x
  2. Step 2: Convert to fraction form
    213,983.66/295,293.83 = 118,488.30/x
  3. Step 3: Cross multiply
    213,983.66x = 295,293.83 × 118,488.30
  4. Step 4: Simplify right side
    213,983.66x = 34,988,863,917.19
  5. Step 5: Solve for x
    x = 34,988,863,917.19/213,983.66
  6. Step 6: Final answer
    x = 163,511.85

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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.