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Finding the Fourth Proportional to 253,642.44, 380,492.82 and 148,462.32

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Solution

The fourth proportional to 253,642.44, 380,492.82 and 148,462.32 is: 222,710.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,642.44 : 380,492.82 = 148,462.32 : x
  2. Step 2: Convert to fraction form
    253,642.44/380,492.82 = 148,462.32/x
  3. Step 3: Cross multiply
    253,642.44x = 380,492.82 × 148,462.32
  4. Step 4: Simplify right side
    253,642.44x = 56,488,846,800.54
  5. Step 5: Solve for x
    x = 56,488,846,800.54/253,642.44
  6. Step 6: Final answer
    x = 222,710.55

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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.