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Finding the Fourth Proportional to 270,032.10, 404,270.55 and 165,056.10

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Solution

The fourth proportional to 270,032.10, 404,270.55 and 165,056.10 is: 247,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,032.10 : 404,270.55 = 165,056.10 : x
  2. Step 2: Convert to fraction form
    270,032.10/404,270.55 = 165,056.10/x
  3. Step 3: Cross multiply
    270,032.10x = 404,270.55 × 165,056.10
  4. Step 4: Simplify right side
    270,032.10x = 66,727,320,327.86
  5. Step 5: Solve for x
    x = 66,727,320,327.86/270,032.10
  6. Step 6: Final answer
    x = 247,108.84

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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.