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Finding the Fourth Proportional to 270,703.10, 405,277.05 and 165,727.10

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Solution

The fourth proportional to 270,703.10, 405,277.05 and 165,727.10 is: 248,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,703.10 : 405,277.05 = 165,727.10 : x
  2. Step 2: Convert to fraction form
    270,703.10/405,277.05 = 165,727.10/x
  3. Step 3: Cross multiply
    270,703.10x = 405,277.05 × 165,727.10
  4. Step 4: Simplify right side
    270,703.10x = 67,165,390,193.06
  5. Step 5: Solve for x
    x = 67,165,390,193.06/270,703.10
  6. Step 6: Final answer
    x = 248,114.60

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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.