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Finding the Fourth Proportional to 104,571.21, 144,308.16 and 56,824.45

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Solution

The fourth proportional to 104,571.21, 144,308.16 and 56,824.45 is: 78,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,571.21 : 144,308.16 = 56,824.45 : x
  2. Step 2: Convert to fraction form
    104,571.21/144,308.16 = 56,824.45/x
  3. Step 3: Cross multiply
    104,571.21x = 144,308.16 × 56,824.45
  4. Step 4: Simplify right side
    104,571.21x = 8,200,231,461.74
  5. Step 5: Solve for x
    x = 8,200,231,461.74/104,571.21
  6. Step 6: Final answer
    x = 78,417.68

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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.