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Finding the Fourth Proportional to 298,661.52, 412,152.84 and 164,525.52

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Solution

The fourth proportional to 298,661.52, 412,152.84 and 164,525.52 is: 227,045.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,661.52 : 412,152.84 = 164,525.52 : x
  2. Step 2: Convert to fraction form
    298,661.52/412,152.84 = 164,525.52/x
  3. Step 3: Cross multiply
    298,661.52x = 412,152.84 × 164,525.52
  4. Step 4: Simplify right side
    298,661.52x = 67,809,660,320.48
  5. Step 5: Solve for x
    x = 67,809,660,320.48/298,661.52
  6. Step 6: Final answer
    x = 227,045.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.