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Finding the Fourth Proportional to 213,495.32, 294,624.70 and 116,699.31

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Solution

The fourth proportional to 213,495.32, 294,624.70 and 116,699.31 is: 161,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,495.32 : 294,624.70 = 116,699.31 : x
  2. Step 2: Convert to fraction form
    213,495.32/294,624.70 = 116,699.31/x
  3. Step 3: Cross multiply
    213,495.32x = 294,624.70 × 116,699.31
  4. Step 4: Simplify right side
    213,495.32x = 34,382,499,198.96
  5. Step 5: Solve for x
    x = 34,382,499,198.96/213,495.32
  6. Step 6: Final answer
    x = 161,045.68

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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.