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Finding the Fourth Proportional to 135,009.98, 186,336.51 and 78,454.16

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Solution

The fourth proportional to 135,009.98, 186,336.51 and 78,454.16 is: 108,279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,009.98 : 186,336.51 = 78,454.16 : x
  2. Step 2: Convert to fraction form
    135,009.98/186,336.51 = 78,454.16/x
  3. Step 3: Cross multiply
    135,009.98x = 186,336.51 × 78,454.16
  4. Step 4: Simplify right side
    135,009.98x = 14,618,874,369.38
  5. Step 5: Solve for x
    x = 14,618,874,369.38/135,009.98
  6. Step 6: Final answer
    x = 108,279.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.