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Finding the Fourth Proportional to 255,602.56, 382,567.68 and 188,116.48

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Solution

The fourth proportional to 255,602.56, 382,567.68 and 188,116.48 is: 281,559.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,602.56 : 382,567.68 = 188,116.48 : x
  2. Step 2: Convert to fraction form
    255,602.56/382,567.68 = 188,116.48/x
  3. Step 3: Cross multiply
    255,602.56x = 382,567.68 × 188,116.48
  4. Step 4: Simplify right side
    255,602.56x = 71,967,285,323.37
  5. Step 5: Solve for x
    x = 71,967,285,323.37/255,602.56
  6. Step 6: Final answer
    x = 281,559.33

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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.