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Finding the Fourth Proportional to 150,338.64, 225,507.96 and 39,522

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Solution

The fourth proportional to 150,338.64, 225,507.96 and 39,522 is: 59,283.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,338.64 : 225,507.96 = 39,522 : x
  2. Step 2: Convert to fraction form
    150,338.64/225,507.96 = 39,522/x
  3. Step 3: Cross multiply
    150,338.64x = 225,507.96 × 39,522
  4. Step 4: Simplify right side
    150,338.64x = 8,912,525,595.12
  5. Step 5: Solve for x
    x = 8,912,525,595.12/150,338.64
  6. Step 6: Final answer
    x = 59,283.00

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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.