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Finding the Fourth Proportional to 104,509.78, 144,224.26 and 56,763.14

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Solution

The fourth proportional to 104,509.78, 144,224.26 and 56,763.14 is: 78,333.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,509.78 : 144,224.26 = 56,763.14 : x
  2. Step 2: Convert to fraction form
    104,509.78/144,224.26 = 56,763.14/x
  3. Step 3: Cross multiply
    104,509.78x = 144,224.26 × 56,763.14
  4. Step 4: Simplify right side
    104,509.78x = 8,186,621,861.78
  5. Step 5: Solve for x
    x = 8,186,621,861.78/104,509.78
  6. Step 6: Final answer
    x = 78,333.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.