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Finding the Fourth Proportional to 110,746.92, 165,978.23 and 96,456.90

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Solution

The fourth proportional to 110,746.92, 165,978.23 and 96,456.90 is: 144,561.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,746.92 : 165,978.23 = 96,456.90 : x
  2. Step 2: Convert to fraction form
    110,746.92/165,978.23 = 96,456.90/x
  3. Step 3: Cross multiply
    110,746.92x = 165,978.23 × 96,456.90
  4. Step 4: Simplify right side
    110,746.92x = 16,009,745,051.00
  5. Step 5: Solve for x
    x = 16,009,745,051.00/110,746.92
  6. Step 6: Final answer
    x = 144,561.54

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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.