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Finding the Fourth Proportional to 168,698.34, 232,796.76 and 97,080.90

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Solution

The fourth proportional to 168,698.34, 232,796.76 and 97,080.90 is: 133,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,698.34 : 232,796.76 = 97,080.90 : x
  2. Step 2: Convert to fraction form
    168,698.34/232,796.76 = 97,080.90/x
  3. Step 3: Cross multiply
    168,698.34x = 232,796.76 × 97,080.90
  4. Step 4: Simplify right side
    168,698.34x = 22,600,118,977.88
  5. Step 5: Solve for x
    x = 22,600,118,977.88/168,698.34
  6. Step 6: Final answer
    x = 133,967.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.