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Finding the Fourth Proportional to 253,747.68, 380,621.52 and 105,900

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Solution

The fourth proportional to 253,747.68, 380,621.52 and 105,900 is: 158,850

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,747.68 : 380,621.52 = 105,900 : x
  2. Step 2: Convert to fraction form
    253,747.68/380,621.52 = 105,900/x
  3. Step 3: Cross multiply
    253,747.68x = 380,621.52 × 105,900
  4. Step 4: Simplify right side
    253,747.68x = 40,307,818,968
  5. Step 5: Solve for x
    x = 40,307,818,968/253,747.68
  6. Step 6: Final answer
    x = 158,850

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.