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Finding the Fourth Proportional to 200,880.90, 277,203.15 and 110,218.50

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Solution

The fourth proportional to 200,880.90, 277,203.15 and 110,218.50 is: 152,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,880.90 : 277,203.15 = 110,218.50 : x
  2. Step 2: Convert to fraction form
    200,880.90/277,203.15 = 110,218.50/x
  3. Step 3: Cross multiply
    200,880.90x = 277,203.15 × 110,218.50
  4. Step 4: Simplify right side
    200,880.90x = 30,552,915,388.28
  5. Step 5: Solve for x
    x = 30,552,915,388.28/200,880.90
  6. Step 6: Final answer
    x = 152,094.68

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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.