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Finding the Fourth Proportional to 305,025.52, 457,538.26 and 83,409.52

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Solution

The fourth proportional to 305,025.52, 457,538.26 and 83,409.52 is: 125,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,025.52 : 457,538.26 = 83,409.52 : x
  2. Step 2: Convert to fraction form
    305,025.52/457,538.26 = 83,409.52/x
  3. Step 3: Cross multiply
    305,025.52x = 457,538.26 × 83,409.52
  4. Step 4: Simplify right side
    305,025.52x = 38,163,046,648.24
  5. Step 5: Solve for x
    x = 38,163,046,648.24/305,025.52
  6. Step 6: Final answer
    x = 125,114.27

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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.