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Finding the Fourth Proportional to 126,656.38, 174,709.64 and 83,636.26

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Solution

The fourth proportional to 126,656.38, 174,709.64 and 83,636.26 is: 115,367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,656.38 : 174,709.64 = 83,636.26 : x
  2. Step 2: Convert to fraction form
    126,656.38/174,709.64 = 83,636.26/x
  3. Step 3: Cross multiply
    126,656.38x = 174,709.64 × 83,636.26
  4. Step 4: Simplify right side
    126,656.38x = 14,612,060,875.55
  5. Step 5: Solve for x
    x = 14,612,060,875.55/126,656.38
  6. Step 6: Final answer
    x = 115,367.74

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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.