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Finding the Fourth Proportional to 104,713.95, 157,161.62 and 54,828.93

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Solution

The fourth proportional to 104,713.95, 157,161.62 and 54,828.93 is: 82,290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,713.95 : 157,161.62 = 54,828.93 : x
  2. Step 2: Convert to fraction form
    104,713.95/157,161.62 = 54,828.93/x
  3. Step 3: Cross multiply
    104,713.95x = 157,161.62 × 54,828.93
  4. Step 4: Simplify right side
    104,713.95x = 8,617,003,187.52
  5. Step 5: Solve for x
    x = 8,617,003,187.52/104,713.95
  6. Step 6: Final answer
    x = 82,290.88

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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.