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Finding the Fourth Proportional to 172,002.80, 258,004.20 and 83,429.30

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Solution

The fourth proportional to 172,002.80, 258,004.20 and 83,429.30 is: 125,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,002.80 : 258,004.20 = 83,429.30 : x
  2. Step 2: Convert to fraction form
    172,002.80/258,004.20 = 83,429.30/x
  3. Step 3: Cross multiply
    172,002.80x = 258,004.20 × 83,429.30
  4. Step 4: Simplify right side
    172,002.80x = 21,525,109,803.06
  5. Step 5: Solve for x
    x = 21,525,109,803.06/172,002.80
  6. Step 6: Final answer
    x = 125,143.95

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1.5x scale

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.