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Finding the Fourth Proportional to 172,421.40, 258,632.40 and 54,101.82

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Solution

The fourth proportional to 172,421.40, 258,632.40 and 54,101.82 is: 81,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,421.40 : 258,632.40 = 54,101.82 : x
  2. Step 2: Convert to fraction form
    172,421.40/258,632.40 = 54,101.82/x
  3. Step 3: Cross multiply
    172,421.40x = 258,632.40 × 54,101.82
  4. Step 4: Simplify right side
    172,421.40x = 13,992,483,550.97
  5. Step 5: Solve for x
    x = 13,992,483,550.97/172,421.40
  6. Step 6: Final answer
    x = 81,152.82

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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.