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Finding the Fourth Proportional to 104,297.65, 156,018.01 and 83,278.75

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Solution

The fourth proportional to 104,297.65, 156,018.01 and 83,278.75 is: 124,576.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,297.65 : 156,018.01 = 83,278.75 : x
  2. Step 2: Convert to fraction form
    104,297.65/156,018.01 = 83,278.75/x
  3. Step 3: Cross multiply
    104,297.65x = 156,018.01 × 83,278.75
  4. Step 4: Simplify right side
    104,297.65x = 12,992,984,850.29
  5. Step 5: Solve for x
    x = 12,992,984,850.29/104,297.65
  6. Step 6: Final answer
    x = 124,576.01

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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.