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Finding the Fourth Proportional to 270,524.64, 405,707.68 and 101,923.32

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Solution

The fourth proportional to 270,524.64, 405,707.68 and 101,923.32 is: 152,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,524.64 : 405,707.68 = 101,923.32 : x
  2. Step 2: Convert to fraction form
    270,524.64/405,707.68 = 101,923.32/x
  3. Step 3: Cross multiply
    270,524.64x = 405,707.68 × 101,923.32
  4. Step 4: Simplify right side
    270,524.64x = 41,351,073,695.10
  5. Step 5: Solve for x
    x = 41,351,073,695.10/270,524.64
  6. Step 6: Final answer
    x = 152,855.11

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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.