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Finding the Fourth Proportional to 100,154.50, 138,213.21 and 55,442.50

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Solution

The fourth proportional to 100,154.50, 138,213.21 and 55,442.50 is: 76,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,154.50 : 138,213.21 = 55,442.50 : x
  2. Step 2: Convert to fraction form
    100,154.50/138,213.21 = 55,442.50/x
  3. Step 3: Cross multiply
    100,154.50x = 138,213.21 × 55,442.50
  4. Step 4: Simplify right side
    100,154.50x = 7,662,885,895.43
  5. Step 5: Solve for x
    x = 7,662,885,895.43/100,154.50
  6. Step 6: Final answer
    x = 76,510.65

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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.