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Finding the Fourth Proportional to 274,109.80, 410,970.30 and 124,421.80

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Solution

The fourth proportional to 274,109.80, 410,970.30 and 124,421.80 is: 186,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,109.80 : 410,970.30 = 124,421.80 : x
  2. Step 2: Convert to fraction form
    274,109.80/410,970.30 = 124,421.80/x
  3. Step 3: Cross multiply
    274,109.80x = 410,970.30 × 124,421.80
  4. Step 4: Simplify right side
    274,109.80x = 51,133,664,472.54
  5. Step 5: Solve for x
    x = 51,133,664,472.54/274,109.80
  6. Step 6: Final answer
    x = 186,544.46

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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.