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Finding the Fourth Proportional to 270,922.32, 406,645.92 and 130,779.36

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Solution

The fourth proportional to 270,922.32, 406,645.92 and 130,779.36 is: 196,295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,922.32 : 406,645.92 = 130,779.36 : x
  2. Step 2: Convert to fraction form
    270,922.32/406,645.92 = 130,779.36/x
  3. Step 3: Cross multiply
    270,922.32x = 406,645.92 × 130,779.36
  4. Step 4: Simplify right side
    270,922.32x = 53,180,893,164.21
  5. Step 5: Solve for x
    x = 53,180,893,164.21/270,922.32
  6. Step 6: Final answer
    x = 196,295.72

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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.