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Finding the Fourth Proportional to 270,062.93, 405,154.66 and 101,584.65

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Solution

The fourth proportional to 270,062.93, 405,154.66 and 101,584.65 is: 152,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,062.93 : 405,154.66 = 101,584.65 : x
  2. Step 2: Convert to fraction form
    270,062.93/405,154.66 = 101,584.65/x
  3. Step 3: Cross multiply
    270,062.93x = 405,154.66 × 101,584.65
  4. Step 4: Simplify right side
    270,062.93x = 41,157,493,508.81
  5. Step 5: Solve for x
    x = 41,157,493,508.81/270,062.93
  6. Step 6: Final answer
    x = 152,399.64

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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.