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Finding the Fourth Proportional to 135,002.88, 186,305.34 and 74,574.96

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Solution

The fourth proportional to 135,002.88, 186,305.34 and 74,574.96 is: 102,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,002.88 : 186,305.34 = 74,574.96 : x
  2. Step 2: Convert to fraction form
    135,002.88/186,305.34 = 74,574.96/x
  3. Step 3: Cross multiply
    135,002.88x = 186,305.34 × 74,574.96
  4. Step 4: Simplify right side
    135,002.88x = 13,893,713,278.29
  5. Step 5: Solve for x
    x = 13,893,713,278.29/135,002.88
  6. Step 6: Final answer
    x = 102,914.20

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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.