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Finding the Fourth Proportional to 210,920.36, 291,205.94 and 188,220.31

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Solution

The fourth proportional to 210,920.36, 291,205.94 and 188,220.31 is: 259,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,920.36 : 291,205.94 = 188,220.31 : x
  2. Step 2: Convert to fraction form
    210,920.36/291,205.94 = 188,220.31/x
  3. Step 3: Cross multiply
    210,920.36x = 291,205.94 × 188,220.31
  4. Step 4: Simplify right side
    210,920.36x = 54,810,870,631.53
  5. Step 5: Solve for x
    x = 54,810,870,631.53/210,920.36
  6. Step 6: Final answer
    x = 259,865.25

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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.