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Finding the Fourth Proportional to 127,814.68, 176,478.15 and 82,519.12

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Solution

The fourth proportional to 127,814.68, 176,478.15 and 82,519.12 is: 113,937.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,814.68 : 176,478.15 = 82,519.12 : x
  2. Step 2: Convert to fraction form
    127,814.68/176,478.15 = 82,519.12/x
  3. Step 3: Cross multiply
    127,814.68x = 176,478.15 × 82,519.12
  4. Step 4: Simplify right side
    127,814.68x = 14,562,821,637.23
  5. Step 5: Solve for x
    x = 14,562,821,637.23/127,814.68
  6. Step 6: Final answer
    x = 113,937.00

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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.