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Finding the Fourth Proportional to 102,980, 142,114.56 and 58,268

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Solution

The fourth proportional to 102,980, 142,114.56 and 58,268 is: 80,411.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,980 : 142,114.56 = 58,268 : x
  2. Step 2: Convert to fraction form
    102,980/142,114.56 = 58,268/x
  3. Step 3: Cross multiply
    102,980x = 142,114.56 × 58,268
  4. Step 4: Simplify right side
    102,980x = 8,280,731,182.08
  5. Step 5: Solve for x
    x = 8,280,731,182.08/102,980
  6. Step 6: Final answer
    x = 80,411.06

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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.