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Finding the Fourth Proportional to 135,185.29, 186,569.71 and 77,826.65

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Solution

The fourth proportional to 135,185.29, 186,569.71 and 77,826.65 is: 107,408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,185.29 : 186,569.71 = 77,826.65 : x
  2. Step 2: Convert to fraction form
    135,185.29/186,569.71 = 77,826.65/x
  3. Step 3: Cross multiply
    135,185.29x = 186,569.71 × 77,826.65
  4. Step 4: Simplify right side
    135,185.29x = 14,520,094,393.36
  5. Step 5: Solve for x
    x = 14,520,094,393.36/135,185.29
  6. Step 6: Final answer
    x = 107,408.84

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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.