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Finding the Fourth Proportional to 270,722.72, 406,167.12 and 121,088.96

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Solution

The fourth proportional to 270,722.72, 406,167.12 and 121,088.96 is: 181,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,722.72 : 406,167.12 = 121,088.96 : x
  2. Step 2: Convert to fraction form
    270,722.72/406,167.12 = 121,088.96/x
  3. Step 3: Cross multiply
    270,722.72x = 406,167.12 × 121,088.96
  4. Step 4: Simplify right side
    270,722.72x = 49,182,354,147.00
  5. Step 5: Solve for x
    x = 49,182,354,147.00/270,722.72
  6. Step 6: Final answer
    x = 181,670.58

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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.