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Finding the Fourth Proportional to 100,380.34, 138,525.07 and 55,058.70

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Solution

The fourth proportional to 100,380.34, 138,525.07 and 55,058.70 is: 75,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,380.34 : 138,525.07 = 55,058.70 : x
  2. Step 2: Convert to fraction form
    100,380.34/138,525.07 = 55,058.70/x
  3. Step 3: Cross multiply
    100,380.34x = 138,525.07 × 55,058.70
  4. Step 4: Simplify right side
    100,380.34x = 7,627,010,271.61
  5. Step 5: Solve for x
    x = 7,627,010,271.61/100,380.34
  6. Step 6: Final answer
    x = 75,981.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.