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Finding the Fourth Proportional to 100,397.06, 138,554.96 and 57,382.88

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Solution

The fourth proportional to 100,397.06, 138,554.96 and 57,382.88 is: 79,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,397.06 : 138,554.96 = 57,382.88 : x
  2. Step 2: Convert to fraction form
    100,397.06/138,554.96 = 57,382.88/x
  3. Step 3: Cross multiply
    100,397.06x = 138,554.96 × 57,382.88
  4. Step 4: Simplify right side
    100,397.06x = 7,950,682,643.08
  5. Step 5: Solve for x
    x = 7,950,682,643.08/100,397.06
  6. Step 6: Final answer
    x = 79,192.39

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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.