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Finding the Fourth Proportional to 273,525.94, 411,010.53 and 147,259.54

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Solution

The fourth proportional to 273,525.94, 411,010.53 and 147,259.54 is: 221,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,525.94 : 411,010.53 = 147,259.54 : x
  2. Step 2: Convert to fraction form
    273,525.94/411,010.53 = 147,259.54/x
  3. Step 3: Cross multiply
    273,525.94x = 411,010.53 × 147,259.54
  4. Step 4: Simplify right side
    273,525.94x = 60,525,221,582.96
  5. Step 5: Solve for x
    x = 60,525,221,582.96/273,525.94
  6. Step 6: Final answer
    x = 221,277.81

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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.