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Finding the Fourth Proportional to 209,508.64, 314,262.96 and 172,494.88

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Solution

The fourth proportional to 209,508.64, 314,262.96 and 172,494.88 is: 258,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,508.64 : 314,262.96 = 172,494.88 : x
  2. Step 2: Convert to fraction form
    209,508.64/314,262.96 = 172,494.88/x
  3. Step 3: Cross multiply
    209,508.64x = 314,262.96 × 172,494.88
  4. Step 4: Simplify right side
    209,508.64x = 54,208,751,573.64
  5. Step 5: Solve for x
    x = 54,208,751,573.64/209,508.64
  6. Step 6: Final answer
    x = 258,742.32

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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.