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Finding the Fourth Proportional to 172,664.50, 259,033.80 and 97,820.50

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Solution

The fourth proportional to 172,664.50, 259,033.80 and 97,820.50 is: 146,751.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,664.50 : 259,033.80 = 97,820.50 : x
  2. Step 2: Convert to fraction form
    172,664.50/259,033.80 = 97,820.50/x
  3. Step 3: Cross multiply
    172,664.50x = 259,033.80 × 97,820.50
  4. Step 4: Simplify right side
    172,664.50x = 25,338,815,832.90
  5. Step 5: Solve for x
    x = 25,338,815,832.90/172,664.50
  6. Step 6: Final answer
    x = 146,751.74

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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.