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Finding the Fourth Proportional to 200,770.83, 277,059.44 and 110,125.16

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Solution

The fourth proportional to 200,770.83, 277,059.44 and 110,125.16 is: 151,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,770.83 : 277,059.44 = 110,125.16 : x
  2. Step 2: Convert to fraction form
    200,770.83/277,059.44 = 110,125.16/x
  3. Step 3: Cross multiply
    200,770.83x = 277,059.44 × 110,125.16
  4. Step 4: Simplify right side
    200,770.83x = 30,511,213,223.59
  5. Step 5: Solve for x
    x = 30,511,213,223.59/200,770.83
  6. Step 6: Final answer
    x = 151,970.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.