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Finding the Fourth Proportional to 172,199.40, 258,687.94 and 102,124.68

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Solution

The fourth proportional to 172,199.40, 258,687.94 and 102,124.68 is: 153,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,199.40 : 258,687.94 = 102,124.68 : x
  2. Step 2: Convert to fraction form
    172,199.40/258,687.94 = 102,124.68/x
  3. Step 3: Cross multiply
    172,199.40x = 258,687.94 × 102,124.68
  4. Step 4: Simplify right side
    172,199.40x = 26,418,423,092.36
  5. Step 5: Solve for x
    x = 26,418,423,092.36/172,199.40
  6. Step 6: Final answer
    x = 153,417.63

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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.