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Finding the Fourth Proportional to 282,287.73, 423,109.47 and 113,700.11

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Solution

The fourth proportional to 282,287.73, 423,109.47 and 113,700.11 is: 170,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,287.73 : 423,109.47 = 113,700.11 : x
  2. Step 2: Convert to fraction form
    282,287.73/423,109.47 = 113,700.11/x
  3. Step 3: Cross multiply
    282,287.73x = 423,109.47 × 113,700.11
  4. Step 4: Simplify right side
    282,287.73x = 48,107,591,591.87
  5. Step 5: Solve for x
    x = 48,107,591,591.87/282,287.73
  6. Step 6: Final answer
    x = 170,420.41

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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.