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Finding the Fourth Proportional to 133,075.32, 199,554.66 and 49,911

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Solution

The fourth proportional to 133,075.32, 199,554.66 and 49,911 is: 74,844.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,075.32 : 199,554.66 = 49,911 : x
  2. Step 2: Convert to fraction form
    133,075.32/199,554.66 = 49,911/x
  3. Step 3: Cross multiply
    133,075.32x = 199,554.66 × 49,911
  4. Step 4: Simplify right side
    133,075.32x = 9,959,972,635.26
  5. Step 5: Solve for x
    x = 9,959,972,635.26/133,075.32
  6. Step 6: Final answer
    x = 74,844.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.