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Finding the Fourth Proportional to 378,051.75, 567,182.72 and 164,838.30

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Solution

The fourth proportional to 378,051.75, 567,182.72 and 164,838.30 is: 247,303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,051.75 : 567,182.72 = 164,838.30 : x
  2. Step 2: Convert to fraction form
    378,051.75/567,182.72 = 164,838.30/x
  3. Step 3: Cross multiply
    378,051.75x = 567,182.72 × 164,838.30
  4. Step 4: Simplify right side
    378,051.75x = 93,493,435,354.18
  5. Step 5: Solve for x
    x = 93,493,435,354.18/378,051.75
  6. Step 6: Final answer
    x = 247,303.27

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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.