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Finding the Fourth Proportional to 104,468.52, 144,167.32 and 56,721.90

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Solution

The fourth proportional to 104,468.52, 144,167.32 and 56,721.90 is: 78,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,468.52 : 144,167.32 = 56,721.90 : x
  2. Step 2: Convert to fraction form
    104,468.52/144,167.32 = 56,721.90/x
  3. Step 3: Cross multiply
    104,468.52x = 144,167.32 × 56,721.90
  4. Step 4: Simplify right side
    104,468.52x = 8,177,444,308.31
  5. Step 5: Solve for x
    x = 8,177,444,308.31/104,468.52
  6. Step 6: Final answer
    x = 78,276.64

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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.