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Finding the Fourth Proportional to 82,926.90, 116,214.30 and 82,926.90

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Solution

The fourth proportional to 82,926.90, 116,214.30 and 82,926.90 is: 116,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,926.90 : 116,214.30 = 82,926.90 : x
  2. Step 2: Convert to fraction form
    82,926.90/116,214.30 = 82,926.90/x
  3. Step 3: Cross multiply
    82,926.90x = 116,214.30 × 82,926.90
  4. Step 4: Simplify right side
    82,926.90x = 9,637,291,634.67
  5. Step 5: Solve for x
    x = 9,637,291,634.67/82,926.90
  6. Step 6: Final answer
    x = 116,214.30

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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.