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Finding the Fourth Proportional to 82,536.74, 114,007.54 and 68,254.26

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Solution

The fourth proportional to 82,536.74, 114,007.54 and 68,254.26 is: 94,279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,536.74 : 114,007.54 = 68,254.26 : x
  2. Step 2: Convert to fraction form
    82,536.74/114,007.54 = 68,254.26/x
  3. Step 3: Cross multiply
    82,536.74x = 114,007.54 × 68,254.26
  4. Step 4: Simplify right side
    82,536.74x = 7,781,500,277.12
  5. Step 5: Solve for x
    x = 7,781,500,277.12/82,536.74
  6. Step 6: Final answer
    x = 94,279.23

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1.5x scale

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.