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Finding the Fourth Proportional to 136,990.66, 189,024.02 and 76,561.80

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Solution

The fourth proportional to 136,990.66, 189,024.02 and 76,561.80 is: 105,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,990.66 : 189,024.02 = 76,561.80 : x
  2. Step 2: Convert to fraction form
    136,990.66/189,024.02 = 76,561.80/x
  3. Step 3: Cross multiply
    136,990.66x = 189,024.02 × 76,561.80
  4. Step 4: Simplify right side
    136,990.66x = 14,472,019,214.44
  5. Step 5: Solve for x
    x = 14,472,019,214.44/136,990.66
  6. Step 6: Final answer
    x = 105,642.38

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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.