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Finding the Fourth Proportional to 172,909.83, 259,302.36 and 73,077.75

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Solution

The fourth proportional to 172,909.83, 259,302.36 and 73,077.75 is: 109,590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,909.83 : 259,302.36 = 73,077.75 : x
  2. Step 2: Convert to fraction form
    172,909.83/259,302.36 = 73,077.75/x
  3. Step 3: Cross multiply
    172,909.83x = 259,302.36 × 73,077.75
  4. Step 4: Simplify right side
    172,909.83x = 18,949,233,038.49
  5. Step 5: Solve for x
    x = 18,949,233,038.49/172,909.83
  6. Step 6: Final answer
    x = 109,590.26

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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.