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Finding the Fourth Proportional to 200,751.94, 277,038.07 and 110,108.65

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Solution

The fourth proportional to 200,751.94, 277,038.07 and 110,108.65 is: 151,950.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,751.94 : 277,038.07 = 110,108.65 : x
  2. Step 2: Convert to fraction form
    200,751.94/277,038.07 = 110,108.65/x
  3. Step 3: Cross multiply
    200,751.94x = 277,038.07 × 110,108.65
  4. Step 4: Simplify right side
    200,751.94x = 30,504,289,226.00
  5. Step 5: Solve for x
    x = 30,504,289,226.00/200,751.94
  6. Step 6: Final answer
    x = 151,950.16

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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.