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Finding the Fourth Proportional to 200,941.85, 277,284.51 and 110,283.41

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Solution

The fourth proportional to 200,941.85, 277,284.51 and 110,283.41 is: 152,182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,941.85 : 277,284.51 = 110,283.41 : x
  2. Step 2: Convert to fraction form
    200,941.85/277,284.51 = 110,283.41/x
  3. Step 3: Cross multiply
    200,941.85x = 277,284.51 × 110,283.41
  4. Step 4: Simplify right side
    200,941.85x = 30,579,879,916.56
  5. Step 5: Solve for x
    x = 30,579,879,916.56/200,941.85
  6. Step 6: Final answer
    x = 152,182.74

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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.