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Finding the Fourth Proportional to 172,643.40, 258,965.10 and 102,601.80

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Solution

The fourth proportional to 172,643.40, 258,965.10 and 102,601.80 is: 153,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,643.40 : 258,965.10 = 102,601.80 : x
  2. Step 2: Convert to fraction form
    172,643.40/258,965.10 = 102,601.80/x
  3. Step 3: Cross multiply
    172,643.40x = 258,965.10 × 102,601.80
  4. Step 4: Simplify right side
    172,643.40x = 26,570,285,397.18
  5. Step 5: Solve for x
    x = 26,570,285,397.18/172,643.40
  6. Step 6: Final answer
    x = 153,902.70

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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.