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Finding the Fourth Proportional to 136,213.88, 187,975.35 and 76,597.88

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Solution

The fourth proportional to 136,213.88, 187,975.35 and 76,597.88 is: 105,705.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,213.88 : 187,975.35 = 76,597.88 : x
  2. Step 2: Convert to fraction form
    136,213.88/187,975.35 = 76,597.88/x
  3. Step 3: Cross multiply
    136,213.88x = 187,975.35 × 76,597.88
  4. Step 4: Simplify right side
    136,213.88x = 14,398,512,362.38
  5. Step 5: Solve for x
    x = 14,398,512,362.38/136,213.88
  6. Step 6: Final answer
    x = 105,705.18

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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.