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Finding the Fourth Proportional to 127,672.77, 191,505.51 and 34,178.52

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Solution

The fourth proportional to 127,672.77, 191,505.51 and 34,178.52 is: 51,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,672.77 : 191,505.51 = 34,178.52 : x
  2. Step 2: Convert to fraction form
    127,672.77/191,505.51 = 34,178.52/x
  3. Step 3: Cross multiply
    127,672.77x = 191,505.51 × 34,178.52
  4. Step 4: Simplify right side
    127,672.77x = 6,545,374,903.65
  5. Step 5: Solve for x
    x = 6,545,374,903.65/127,672.77
  6. Step 6: Final answer
    x = 51,266.80

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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.