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Finding the Fourth Proportional to 111,140.73, 153,387.95 and 82,797.21

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Solution

The fourth proportional to 111,140.73, 153,387.95 and 82,797.21 is: 114,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,140.73 : 153,387.95 = 82,797.21 : x
  2. Step 2: Convert to fraction form
    111,140.73/153,387.95 = 82,797.21/x
  3. Step 3: Cross multiply
    111,140.73x = 153,387.95 × 82,797.21
  4. Step 4: Simplify right side
    111,140.73x = 12,700,094,307.62
  5. Step 5: Solve for x
    x = 12,700,094,307.62/111,140.73
  6. Step 6: Final answer
    x = 114,270.39

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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.