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Finding the Fourth Proportional to 133,924.90, 200,880.86 and 49,701.48

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Solution

The fourth proportional to 133,924.90, 200,880.86 and 49,701.48 is: 74,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,924.90 : 200,880.86 = 49,701.48 : x
  2. Step 2: Convert to fraction form
    133,924.90/200,880.86 = 49,701.48/x
  3. Step 3: Cross multiply
    133,924.90x = 200,880.86 × 49,701.48
  4. Step 4: Simplify right side
    133,924.90x = 9,984,075,797.17
  5. Step 5: Solve for x
    x = 9,984,075,797.17/133,924.90
  6. Step 6: Final answer
    x = 74,549.81

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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.