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Finding the Fourth Proportional to 270,387.48, 405,638.33 and 101,904.24

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Solution

The fourth proportional to 270,387.48, 405,638.33 and 101,904.24 is: 152,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,387.48 : 405,638.33 = 101,904.24 : x
  2. Step 2: Convert to fraction form
    270,387.48/405,638.33 = 101,904.24/x
  3. Step 3: Cross multiply
    270,387.48x = 405,638.33 × 101,904.24
  4. Step 4: Simplify right side
    270,387.48x = 41,336,265,733.52
  5. Step 5: Solve for x
    x = 41,336,265,733.52/270,387.48
  6. Step 6: Final answer
    x = 152,877.88

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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.