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Finding the Fourth Proportional to 135,907.30, 203,472.15 and 83,419.30

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Solution

The fourth proportional to 135,907.30, 203,472.15 and 83,419.30 is: 124,890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,907.30 : 203,472.15 = 83,419.30 : x
  2. Step 2: Convert to fraction form
    135,907.30/203,472.15 = 83,419.30/x
  3. Step 3: Cross multiply
    135,907.30x = 203,472.15 × 83,419.30
  4. Step 4: Simplify right side
    135,907.30x = 16,973,504,322.50
  5. Step 5: Solve for x
    x = 16,973,504,322.50/135,907.30
  6. Step 6: Final answer
    x = 124,890.31

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1.5x scale

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.