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Finding the Fourth Proportional to 172,686.40, 259,029.60 and 102,529.60

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Solution

The fourth proportional to 172,686.40, 259,029.60 and 102,529.60 is: 153,794.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,686.40 : 259,029.60 = 102,529.60 : x
  2. Step 2: Convert to fraction form
    172,686.40/259,029.60 = 102,529.60/x
  3. Step 3: Cross multiply
    172,686.40x = 259,029.60 × 102,529.60
  4. Step 4: Simplify right side
    172,686.40x = 26,558,201,276.16
  5. Step 5: Solve for x
    x = 26,558,201,276.16/172,686.40
  6. Step 6: Final answer
    x = 153,794.40

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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.