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Finding the Fourth Proportional to 172,254, 258,382.08 and 47,596.08

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Solution

The fourth proportional to 172,254, 258,382.08 and 47,596.08 is: 71,394.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,254 : 258,382.08 = 47,596.08 : x
  2. Step 2: Convert to fraction form
    172,254/258,382.08 = 47,596.08/x
  3. Step 3: Cross multiply
    172,254x = 258,382.08 × 47,596.08
  4. Step 4: Simplify right side
    172,254x = 12,297,974,150.25
  5. Step 5: Solve for x
    x = 12,297,974,150.25/172,254
  6. Step 6: Final answer
    x = 71,394.42

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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.