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Finding the Fourth Proportional to 183,872.94, 275,809.86 and 57,514.00

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Solution

The fourth proportional to 183,872.94, 275,809.86 and 57,514.00 is: 86,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,872.94 : 275,809.86 = 57,514.00 : x
  2. Step 2: Convert to fraction form
    183,872.94/275,809.86 = 57,514.00/x
  3. Step 3: Cross multiply
    183,872.94x = 275,809.86 × 57,514.00
  4. Step 4: Simplify right side
    183,872.94x = 15,862,928,115.66
  5. Step 5: Solve for x
    x = 15,862,928,115.66/183,872.94
  6. Step 6: Final answer
    x = 86,271.14

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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.