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Finding the Fourth Proportional to 114,535.53, 171,482.74 and 86,367.43

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Solution

The fourth proportional to 114,535.53, 171,482.74 and 86,367.43 is: 129,309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,535.53 : 171,482.74 = 86,367.43 : x
  2. Step 2: Convert to fraction form
    114,535.53/171,482.74 = 86,367.43/x
  3. Step 3: Cross multiply
    114,535.53x = 171,482.74 × 86,367.43
  4. Step 4: Simplify right side
    114,535.53x = 14,810,523,541.59
  5. Step 5: Solve for x
    x = 14,810,523,541.59/114,535.53
  6. Step 6: Final answer
    x = 129,309.43

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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.