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Finding the Fourth Proportional to 172,740.48, 258,525.48 and 106,222.74

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Solution

The fourth proportional to 172,740.48, 258,525.48 and 106,222.74 is: 158,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,740.48 : 258,525.48 = 106,222.74 : x
  2. Step 2: Convert to fraction form
    172,740.48/258,525.48 = 106,222.74/x
  3. Step 3: Cross multiply
    172,740.48x = 258,525.48 × 106,222.74
  4. Step 4: Simplify right side
    172,740.48x = 27,461,284,845.42
  5. Step 5: Solve for x
    x = 27,461,284,845.42/172,740.48
  6. Step 6: Final answer
    x = 158,974.23

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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.