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Finding the Fourth Proportional to 136,266.86, 188,004.51 and 82,534.70

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Solution

The fourth proportional to 136,266.86, 188,004.51 and 82,534.70 is: 113,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,266.86 : 188,004.51 = 82,534.70 : x
  2. Step 2: Convert to fraction form
    136,266.86/188,004.51 = 82,534.70/x
  3. Step 3: Cross multiply
    136,266.86x = 188,004.51 × 82,534.70
  4. Step 4: Simplify right side
    136,266.86x = 15,516,895,831.50
  5. Step 5: Solve for x
    x = 15,516,895,831.50/136,266.86
  6. Step 6: Final answer
    x = 113,871.38

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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.