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Finding the Fourth Proportional to 130,309.80, 179,846.82 and 82,567.59

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Solution

The fourth proportional to 130,309.80, 179,846.82 and 82,567.59 is: 113,955.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,309.80 : 179,846.82 = 82,567.59 : x
  2. Step 2: Convert to fraction form
    130,309.80/179,846.82 = 82,567.59/x
  3. Step 3: Cross multiply
    130,309.80x = 179,846.82 × 82,567.59
  4. Step 4: Simplify right side
    130,309.80x = 14,849,518,496.56
  5. Step 5: Solve for x
    x = 14,849,518,496.56/130,309.80
  6. Step 6: Final answer
    x = 113,955.50

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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.