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Finding the Fourth Proportional to 209,354.51, 288,779.63 and 182,561.33

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Solution

The fourth proportional to 209,354.51, 288,779.63 and 182,561.33 is: 251,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,354.51 : 288,779.63 = 182,561.33 : x
  2. Step 2: Convert to fraction form
    209,354.51/288,779.63 = 182,561.33/x
  3. Step 3: Cross multiply
    209,354.51x = 288,779.63 × 182,561.33
  4. Step 4: Simplify right side
    209,354.51x = 52,719,990,973.00
  5. Step 5: Solve for x
    x = 52,719,990,973.00/209,354.51
  6. Step 6: Final answer
    x = 251,821.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.