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Finding the Fourth Proportional to 102,995.25, 142,135.65 and 58,283.25

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Solution

The fourth proportional to 102,995.25, 142,135.65 and 58,283.25 is: 80,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,995.25 : 142,135.65 = 58,283.25 : x
  2. Step 2: Convert to fraction form
    102,995.25/142,135.65 = 58,283.25/x
  3. Step 3: Cross multiply
    102,995.25x = 142,135.65 × 58,283.25
  4. Step 4: Simplify right side
    102,995.25x = 8,284,127,622.86
  5. Step 5: Solve for x
    x = 8,284,127,622.86/102,995.25
  6. Step 6: Final answer
    x = 80,432.13

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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.