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Finding the Fourth Proportional to 82,461.30, 115,679.10 and 82,461.30

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Solution

The fourth proportional to 82,461.30, 115,679.10 and 82,461.30 is: 115,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,461.30 : 115,679.10 = 82,461.30 : x
  2. Step 2: Convert to fraction form
    82,461.30/115,679.10 = 82,461.30/x
  3. Step 3: Cross multiply
    82,461.30x = 115,679.10 × 82,461.30
  4. Step 4: Simplify right side
    82,461.30x = 9,539,048,968.83
  5. Step 5: Solve for x
    x = 9,539,048,968.83/82,461.30
  6. Step 6: Final answer
    x = 115,679.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.