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Finding the Fourth Proportional to 196,265.60, 293,620.80 and 170,259.20

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Solution

The fourth proportional to 196,265.60, 293,620.80 and 170,259.20 is: 254,714.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,265.60 : 293,620.80 = 170,259.20 : x
  2. Step 2: Convert to fraction form
    196,265.60/293,620.80 = 170,259.20/x
  3. Step 3: Cross multiply
    196,265.60x = 293,620.80 × 170,259.20
  4. Step 4: Simplify right side
    196,265.60x = 49,991,642,511.36
  5. Step 5: Solve for x
    x = 49,991,642,511.36/196,265.60
  6. Step 6: Final answer
    x = 254,714.24

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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.