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Finding the Fourth Proportional to 236,746.98, 354,978.78 and 110,415.84

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Solution

The fourth proportional to 236,746.98, 354,978.78 and 110,415.84 is: 165,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,746.98 : 354,978.78 = 110,415.84 : x
  2. Step 2: Convert to fraction form
    236,746.98/354,978.78 = 110,415.84/x
  3. Step 3: Cross multiply
    236,746.98x = 354,978.78 × 110,415.84
  4. Step 4: Simplify right side
    236,746.98x = 39,195,280,175.88
  5. Step 5: Solve for x
    x = 39,195,280,175.88/236,746.98
  6. Step 6: Final answer
    x = 165,557.68

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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.