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Finding the Fourth Proportional to 136,302.80, 188,097.88 and 75,872.16

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Solution

The fourth proportional to 136,302.80, 188,097.88 and 75,872.16 is: 104,703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,302.80 : 188,097.88 = 75,872.16 : x
  2. Step 2: Convert to fraction form
    136,302.80/188,097.88 = 75,872.16/x
  3. Step 3: Cross multiply
    136,302.80x = 188,097.88 × 75,872.16
  4. Step 4: Simplify right side
    136,302.80x = 14,271,392,447.02
  5. Step 5: Solve for x
    x = 14,271,392,447.02/136,302.80
  6. Step 6: Final answer
    x = 104,703.59

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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.