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Finding the Fourth Proportional to 133,281.62, 199,852.22 and 49,020.02

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Solution

The fourth proportional to 133,281.62, 199,852.22 and 49,020.02 is: 73,504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,281.62 : 199,852.22 = 49,020.02 : x
  2. Step 2: Convert to fraction form
    133,281.62/199,852.22 = 49,020.02/x
  3. Step 3: Cross multiply
    133,281.62x = 199,852.22 × 49,020.02
  4. Step 4: Simplify right side
    133,281.62x = 9,796,758,577.08
  5. Step 5: Solve for x
    x = 9,796,758,577.08/133,281.62
  6. Step 6: Final answer
    x = 73,504.20

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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.