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Finding the Fourth Proportional to 110,714.98, 165,215.46 and 98,901.22

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Solution

The fourth proportional to 110,714.98, 165,215.46 and 98,901.22 is: 147,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,714.98 : 165,215.46 = 98,901.22 : x
  2. Step 2: Convert to fraction form
    110,714.98/165,215.46 = 98,901.22/x
  3. Step 3: Cross multiply
    110,714.98x = 165,215.46 × 98,901.22
  4. Step 4: Simplify right side
    110,714.98x = 16,340,010,556.86
  5. Step 5: Solve for x
    x = 16,340,010,556.86/110,714.98
  6. Step 6: Final answer
    x = 147,586.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.