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Finding the Fourth Proportional to 270,506.66, 405,680.67 and 101,905.34

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Solution

The fourth proportional to 270,506.66, 405,680.67 and 101,905.34 is: 152,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,506.66 : 405,680.67 = 101,905.34 : x
  2. Step 2: Convert to fraction form
    270,506.66/405,680.67 = 101,905.34/x
  3. Step 3: Cross multiply
    270,506.66x = 405,680.67 × 101,905.34
  4. Step 4: Simplify right side
    270,506.66x = 41,341,024,579.37
  5. Step 5: Solve for x
    x = 41,341,024,579.37/270,506.66
  6. Step 6: Final answer
    x = 152,828.12

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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.