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Finding the Fourth Proportional to 104,509.84, 144,224.62 and 56,764.12

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Solution

The fourth proportional to 104,509.84, 144,224.62 and 56,764.12 is: 78,335.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,509.84 : 144,224.62 = 56,764.12 : x
  2. Step 2: Convert to fraction form
    104,509.84/144,224.62 = 56,764.12/x
  3. Step 3: Cross multiply
    104,509.84x = 144,224.62 × 56,764.12
  4. Step 4: Simplify right side
    104,509.84x = 8,186,783,636.63
  5. Step 5: Solve for x
    x = 8,186,783,636.63/104,509.84
  6. Step 6: Final answer
    x = 78,335.05

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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.