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Finding the Fourth Proportional to 216,577.54, 324,866.31 and 105,674.50

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Solution

The fourth proportional to 216,577.54, 324,866.31 and 105,674.50 is: 158,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,577.54 : 324,866.31 = 105,674.50 : x
  2. Step 2: Convert to fraction form
    216,577.54/324,866.31 = 105,674.50/x
  3. Step 3: Cross multiply
    216,577.54x = 324,866.31 × 105,674.50
  4. Step 4: Simplify right side
    216,577.54x = 34,330,084,876.10
  5. Step 5: Solve for x
    x = 34,330,084,876.10/216,577.54
  6. Step 6: Final answer
    x = 158,511.75

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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.