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Finding the Fourth Proportional to 236,352.24, 354,451.32 and 78,538.32

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Solution

The fourth proportional to 236,352.24, 354,451.32 and 78,538.32 is: 117,781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,352.24 : 354,451.32 = 78,538.32 : x
  2. Step 2: Convert to fraction form
    236,352.24/354,451.32 = 78,538.32/x
  3. Step 3: Cross multiply
    236,352.24x = 354,451.32 × 78,538.32
  4. Step 4: Simplify right side
    236,352.24x = 27,838,011,194.58
  5. Step 5: Solve for x
    x = 27,838,011,194.58/236,352.24
  6. Step 6: Final answer
    x = 117,781.88

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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.