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Finding the Fourth Proportional to 165,762.74, 228,780 and 97,796.34

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Solution

The fourth proportional to 165,762.74, 228,780 and 97,796.34 is: 134,975.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,762.74 : 228,780 = 97,796.34 : x
  2. Step 2: Convert to fraction form
    165,762.74/228,780 = 97,796.34/x
  3. Step 3: Cross multiply
    165,762.74x = 228,780 × 97,796.34
  4. Step 4: Simplify right side
    165,762.74x = 22,373,846,665.20
  5. Step 5: Solve for x
    x = 22,373,846,665.20/165,762.74
  6. Step 6: Final answer
    x = 134,975.13

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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.