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Finding the Fourth Proportional to 268,539.70, 402,553.55 and 100,014.90

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Solution

The fourth proportional to 268,539.70, 402,553.55 and 100,014.90 is: 149,927.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,539.70 : 402,553.55 = 100,014.90 : x
  2. Step 2: Convert to fraction form
    268,539.70/402,553.55 = 100,014.90/x
  3. Step 3: Cross multiply
    268,539.70x = 402,553.55 × 100,014.90
  4. Step 4: Simplify right side
    268,539.70x = 40,261,353,047.90
  5. Step 5: Solve for x
    x = 40,261,353,047.90/268,539.70
  6. Step 6: Final answer
    x = 149,927.01

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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.