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Finding the Fourth Proportional to 111,714.89, 167,585.07 and 51,729.12

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Solution

The fourth proportional to 111,714.89, 167,585.07 and 51,729.12 is: 77,599.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,714.89 : 167,585.07 = 51,729.12 : x
  2. Step 2: Convert to fraction form
    111,714.89/167,585.07 = 51,729.12/x
  3. Step 3: Cross multiply
    111,714.89x = 167,585.07 × 51,729.12
  4. Step 4: Simplify right side
    111,714.89x = 8,669,028,196.24
  5. Step 5: Solve for x
    x = 8,669,028,196.24/111,714.89
  6. Step 6: Final answer
    x = 77,599.58

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1.5x scale

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.