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Finding the Fourth Proportional to 111,113.78, 153,153.09 and 82,809.14

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Solution

The fourth proportional to 111,113.78, 153,153.09 and 82,809.14 is: 114,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,113.78 : 153,153.09 = 82,809.14 : x
  2. Step 2: Convert to fraction form
    111,113.78/153,153.09 = 82,809.14/x
  3. Step 3: Cross multiply
    111,113.78x = 153,153.09 × 82,809.14
  4. Step 4: Simplify right side
    111,113.78x = 12,682,475,671.24
  5. Step 5: Solve for x
    x = 12,682,475,671.24/111,113.78
  6. Step 6: Final answer
    x = 114,139.54

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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.