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Finding the Fourth Proportional to 199,494, 275,307.48 and 110,075.76

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Solution

The fourth proportional to 199,494, 275,307.48 and 110,075.76 is: 151,907.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,494 : 275,307.48 = 110,075.76 : x
  2. Step 2: Convert to fraction form
    199,494/275,307.48 = 110,075.76/x
  3. Step 3: Cross multiply
    199,494x = 275,307.48 × 110,075.76
  4. Step 4: Simplify right side
    199,494x = 30,304,680,094.68
  5. Step 5: Solve for x
    x = 30,304,680,094.68/199,494
  6. Step 6: Final answer
    x = 151,907.73

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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.