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Finding the Fourth Proportional to 83,046.10, 116,002.10 and 83,046.10

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Solution

The fourth proportional to 83,046.10, 116,002.10 and 83,046.10 is: 116,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,046.10 : 116,002.10 = 83,046.10 : x
  2. Step 2: Convert to fraction form
    83,046.10/116,002.10 = 83,046.10/x
  3. Step 3: Cross multiply
    83,046.10x = 116,002.10 × 83,046.10
  4. Step 4: Simplify right side
    83,046.10x = 9,633,521,996.81
  5. Step 5: Solve for x
    x = 9,633,521,996.81/83,046.10
  6. Step 6: Final answer
    x = 116,002.10

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