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Finding the Fourth Proportional to 82,206.90, 113,417.82 and 53,513.46

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Solution

The fourth proportional to 82,206.90, 113,417.82 and 53,513.46 is: 73,830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,206.90 : 113,417.82 = 53,513.46 : x
  2. Step 2: Convert to fraction form
    82,206.90/113,417.82 = 53,513.46/x
  3. Step 3: Cross multiply
    82,206.90x = 113,417.82 × 53,513.46
  4. Step 4: Simplify right side
    82,206.90x = 6,069,379,973.86
  5. Step 5: Solve for x
    x = 6,069,379,973.86/82,206.90
  6. Step 6: Final answer
    x = 73,830.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.