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Finding the Fourth Proportional to 270,165.06, 405,258.52 and 101,667.64

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Solution

The fourth proportional to 270,165.06, 405,258.52 and 101,667.64 is: 152,505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,165.06 : 405,258.52 = 101,667.64 : x
  2. Step 2: Convert to fraction form
    270,165.06/405,258.52 = 101,667.64/x
  3. Step 3: Cross multiply
    270,165.06x = 405,258.52 × 101,667.64
  4. Step 4: Simplify right side
    270,165.06x = 41,201,677,318.29
  5. Step 5: Solve for x
    x = 41,201,677,318.29/270,165.06
  6. Step 6: Final answer
    x = 152,505.57

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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.