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Finding the Fourth Proportional to 282,137.56, 389,247.38 and 185,393.32

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Solution

The fourth proportional to 282,137.56, 389,247.38 and 185,393.32 is: 255,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,137.56 : 389,247.38 = 185,393.32 : x
  2. Step 2: Convert to fraction form
    282,137.56/389,247.38 = 185,393.32/x
  3. Step 3: Cross multiply
    282,137.56x = 389,247.38 × 185,393.32
  4. Step 4: Simplify right side
    282,137.56x = 72,163,864,079.50
  5. Step 5: Solve for x
    x = 72,163,864,079.50/282,137.56
  6. Step 6: Final answer
    x = 255,775.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.