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Finding the Fourth Proportional to 130,359.88, 179,794.02 and 82,567

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Solution

The fourth proportional to 130,359.88, 179,794.02 and 82,567 is: 113,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,359.88 : 179,794.02 = 82,567 : x
  2. Step 2: Convert to fraction form
    130,359.88/179,794.02 = 82,567/x
  3. Step 3: Cross multiply
    130,359.88x = 179,794.02 × 82,567
  4. Step 4: Simplify right side
    130,359.88x = 14,845,052,849.34
  5. Step 5: Solve for x
    x = 14,845,052,849.34/130,359.88
  6. Step 6: Final answer
    x = 113,877.47

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1.5x scale

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.