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Finding the Fourth Proportional to 378,047.20, 567,124.80 and 111,773.20

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Solution

The fourth proportional to 378,047.20, 567,124.80 and 111,773.20 is: 167,675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,047.20 : 567,124.80 = 111,773.20 : x
  2. Step 2: Convert to fraction form
    378,047.20/567,124.80 = 111,773.20/x
  3. Step 3: Cross multiply
    378,047.20x = 567,124.80 × 111,773.20
  4. Step 4: Simplify right side
    378,047.20x = 63,389,353,695.36
  5. Step 5: Solve for x
    x = 63,389,353,695.36/378,047.20
  6. Step 6: Final answer
    x = 167,675.77

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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.