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Finding the Fourth Proportional to 164,159.68, 226,543 and 92,543.20

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Solution

The fourth proportional to 164,159.68, 226,543 and 92,543.20 is: 127,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,159.68 : 226,543 = 92,543.20 : x
  2. Step 2: Convert to fraction form
    164,159.68/226,543 = 92,543.20/x
  3. Step 3: Cross multiply
    164,159.68x = 226,543 × 92,543.20
  4. Step 4: Simplify right side
    164,159.68x = 20,965,014,157.60
  5. Step 5: Solve for x
    x = 20,965,014,157.60/164,159.68
  6. Step 6: Final answer
    x = 127,711.11

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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.