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Finding the Fourth Proportional to 200,825.95, 277,142.64 and 110,180.27

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Solution

The fourth proportional to 200,825.95, 277,142.64 and 110,180.27 is: 152,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,825.95 : 277,142.64 = 110,180.27 : x
  2. Step 2: Convert to fraction form
    200,825.95/277,142.64 = 110,180.27/x
  3. Step 3: Cross multiply
    200,825.95x = 277,142.64 × 110,180.27
  4. Step 4: Simplify right side
    200,825.95x = 30,535,648,967.10
  5. Step 5: Solve for x
    x = 30,535,648,967.10/200,825.95
  6. Step 6: Final answer
    x = 152,050.32

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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.