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Finding the Fourth Proportional to 172,477.14, 258,754.58 and 52,544.82

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Solution

The fourth proportional to 172,477.14, 258,754.58 and 52,544.82 is: 78,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,477.14 : 258,754.58 = 52,544.82 : x
  2. Step 2: Convert to fraction form
    172,477.14/258,754.58 = 52,544.82/x
  3. Step 3: Cross multiply
    172,477.14x = 258,754.58 × 52,544.82
  4. Step 4: Simplify right side
    172,477.14x = 13,596,212,830.28
  5. Step 5: Solve for x
    x = 13,596,212,830.28/172,477.14
  6. Step 6: Final answer
    x = 78,829.07

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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.