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Finding the Fourth Proportional to 83,434.30, 117,041.30 and 83,434.30

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Solution

The fourth proportional to 83,434.30, 117,041.30 and 83,434.30 is: 117,041.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,434.30 : 117,041.30 = 83,434.30 : x
  2. Step 2: Convert to fraction form
    83,434.30/117,041.30 = 83,434.30/x
  3. Step 3: Cross multiply
    83,434.30x = 117,041.30 × 83,434.30
  4. Step 4: Simplify right side
    83,434.30x = 9,765,258,936.59
  5. Step 5: Solve for x
    x = 9,765,258,936.59/83,434.30
  6. Step 6: Final answer
    x = 117,041.30

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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.