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Finding the Fourth Proportional to 127,684.68, 191,527.56 and 44,578.68

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Solution

The fourth proportional to 127,684.68, 191,527.56 and 44,578.68 is: 66,868.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,684.68 : 191,527.56 = 44,578.68 : x
  2. Step 2: Convert to fraction form
    127,684.68/191,527.56 = 44,578.68/x
  3. Step 3: Cross multiply
    127,684.68x = 191,527.56 × 44,578.68
  4. Step 4: Simplify right side
    127,684.68x = 8,538,045,808.42
  5. Step 5: Solve for x
    x = 8,538,045,808.42/127,684.68
  6. Step 6: Final answer
    x = 66,868.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.