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Finding the Fourth Proportional to 253,870.44, 380,804.76 and 113,530.56

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Solution

The fourth proportional to 253,870.44, 380,804.76 and 113,530.56 is: 170,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,870.44 : 380,804.76 = 113,530.56 : x
  2. Step 2: Convert to fraction form
    253,870.44/380,804.76 = 113,530.56/x
  3. Step 3: Cross multiply
    253,870.44x = 380,804.76 × 113,530.56
  4. Step 4: Simplify right side
    253,870.44x = 43,232,977,653.47
  5. Step 5: Solve for x
    x = 43,232,977,653.47/253,870.44
  6. Step 6: Final answer
    x = 170,295.44

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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.