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Finding the Fourth Proportional to 82,261.90, 115,429.10 and 82,261.90

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Solution

The fourth proportional to 82,261.90, 115,429.10 and 82,261.90 is: 115,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,261.90 : 115,429.10 = 82,261.90 : x
  2. Step 2: Convert to fraction form
    82,261.90/115,429.10 = 82,261.90/x
  3. Step 3: Cross multiply
    82,261.90x = 115,429.10 × 82,261.90
  4. Step 4: Simplify right side
    82,261.90x = 9,495,417,081.29
  5. Step 5: Solve for x
    x = 9,495,417,081.29/82,261.90
  6. Step 6: Final answer
    x = 115,429.10

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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.