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Finding the Fourth Proportional to 252,082.88, 378,281.96 and 102,323.12

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Solution

The fourth proportional to 252,082.88, 378,281.96 and 102,323.12 is: 153,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,082.88 : 378,281.96 = 102,323.12 : x
  2. Step 2: Convert to fraction form
    252,082.88/378,281.96 = 102,323.12/x
  3. Step 3: Cross multiply
    252,082.88x = 378,281.96 × 102,323.12
  4. Step 4: Simplify right side
    252,082.88x = 38,706,990,386.92
  5. Step 5: Solve for x
    x = 38,706,990,386.92/252,082.88
  6. Step 6: Final answer
    x = 153,548.67

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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.