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Finding the Fourth Proportional to 286,882.80, 430,129.80 and 151,969.20

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Solution

The fourth proportional to 286,882.80, 430,129.80 and 151,969.20 is: 227,850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,882.80 : 430,129.80 = 151,969.20 : x
  2. Step 2: Convert to fraction form
    286,882.80/430,129.80 = 151,969.20/x
  3. Step 3: Cross multiply
    286,882.80x = 430,129.80 × 151,969.20
  4. Step 4: Simplify right side
    286,882.80x = 65,366,481,602.16
  5. Step 5: Solve for x
    x = 65,366,481,602.16/286,882.80
  6. Step 6: Final answer
    x = 227,850.82

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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.