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Finding the Fourth Proportional to 111,083.40, 153,294.48 and 60,096

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Solution

The fourth proportional to 111,083.40, 153,294.48 and 60,096 is: 82,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,083.40 : 153,294.48 = 60,096 : x
  2. Step 2: Convert to fraction form
    111,083.40/153,294.48 = 60,096/x
  3. Step 3: Cross multiply
    111,083.40x = 153,294.48 × 60,096
  4. Step 4: Simplify right side
    111,083.40x = 9,212,385,070.08
  5. Step 5: Solve for x
    x = 9,212,385,070.08/111,083.40
  6. Step 6: Final answer
    x = 82,932.15

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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.