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Finding the Fourth Proportional to 240,448.18, 360,705.06 and 100,174

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Solution

The fourth proportional to 240,448.18, 360,705.06 and 100,174 is: 150,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,448.18 : 360,705.06 = 100,174 : x
  2. Step 2: Convert to fraction form
    240,448.18/360,705.06 = 100,174/x
  3. Step 3: Cross multiply
    240,448.18x = 360,705.06 × 100,174
  4. Step 4: Simplify right side
    240,448.18x = 36,133,268,680.44
  5. Step 5: Solve for x
    x = 36,133,268,680.44/240,448.18
  6. Step 6: Final answer
    x = 150,274.66

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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.