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Finding the Fourth Proportional to 82,357.20, 123,535.80 and 76,525.20

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Solution

The fourth proportional to 82,357.20, 123,535.80 and 76,525.20 is: 114,787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,357.20 : 123,535.80 = 76,525.20 : x
  2. Step 2: Convert to fraction form
    82,357.20/123,535.80 = 76,525.20/x
  3. Step 3: Cross multiply
    82,357.20x = 123,535.80 × 76,525.20
  4. Step 4: Simplify right side
    82,357.20x = 9,453,601,802.16
  5. Step 5: Solve for x
    x = 9,453,601,802.16/82,357.20
  6. Step 6: Final answer
    x = 114,787.80

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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.