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Finding the Fourth Proportional to 173,309.40, 259,964.10 and 105,949.80

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Solution

The fourth proportional to 173,309.40, 259,964.10 and 105,949.80 is: 158,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,309.40 : 259,964.10 = 105,949.80 : x
  2. Step 2: Convert to fraction form
    173,309.40/259,964.10 = 105,949.80/x
  3. Step 3: Cross multiply
    173,309.40x = 259,964.10 × 105,949.80
  4. Step 4: Simplify right side
    173,309.40x = 27,543,144,402.18
  5. Step 5: Solve for x
    x = 27,543,144,402.18/173,309.40
  6. Step 6: Final answer
    x = 158,924.70

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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.