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Finding the Fourth Proportional to 82,218, 113,357.52 and 67,095.36

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Solution

The fourth proportional to 82,218, 113,357.52 and 67,095.36 is: 92,507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,218 : 113,357.52 = 67,095.36 : x
  2. Step 2: Convert to fraction form
    82,218/113,357.52 = 67,095.36/x
  3. Step 3: Cross multiply
    82,218x = 113,357.52 × 67,095.36
  4. Step 4: Simplify right side
    82,218x = 7,605,763,613.11
  5. Step 5: Solve for x
    x = 7,605,763,613.11/82,218
  6. Step 6: Final answer
    x = 92,507.28

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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.