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Finding the Fourth Proportional to 199,684.54, 275,566.02 and 109,041.16

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Solution

The fourth proportional to 199,684.54, 275,566.02 and 109,041.16 is: 150,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,684.54 : 275,566.02 = 109,041.16 : x
  2. Step 2: Convert to fraction form
    199,684.54/275,566.02 = 109,041.16/x
  3. Step 3: Cross multiply
    199,684.54x = 275,566.02 × 109,041.16
  4. Step 4: Simplify right side
    199,684.54x = 30,048,038,477.38
  5. Step 5: Solve for x
    x = 30,048,038,477.38/199,684.54
  6. Step 6: Final answer
    x = 150,477.54

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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.