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Finding the Fourth Proportional to 102,789, 141,848.82 and 58,077

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Solution

The fourth proportional to 102,789, 141,848.82 and 58,077 is: 80,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,789 : 141,848.82 = 58,077 : x
  2. Step 2: Convert to fraction form
    102,789/141,848.82 = 58,077/x
  3. Step 3: Cross multiply
    102,789x = 141,848.82 × 58,077
  4. Step 4: Simplify right side
    102,789x = 8,238,153,919.14
  5. Step 5: Solve for x
    x = 8,238,153,919.14/102,789
  6. Step 6: Final answer
    x = 80,146.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.