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Finding the Fourth Proportional to 200,810.25, 277,131.11 and 111,386.25

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Solution

The fourth proportional to 200,810.25, 277,131.11 and 111,386.25 is: 153,720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,810.25 : 277,131.11 = 111,386.25 : x
  2. Step 2: Convert to fraction form
    200,810.25/277,131.11 = 111,386.25/x
  3. Step 3: Cross multiply
    200,810.25x = 277,131.11 × 111,386.25
  4. Step 4: Simplify right side
    200,810.25x = 30,868,594,544.31
  5. Step 5: Solve for x
    x = 30,868,594,544.31/200,810.25
  6. Step 6: Final answer
    x = 153,720.21

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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.