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Finding the Fourth Proportional to 252,024.40, 378,209.40 and 111,883.60

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Solution

The fourth proportional to 252,024.40, 378,209.40 and 111,883.60 is: 167,902.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,024.40 : 378,209.40 = 111,883.60 : x
  2. Step 2: Convert to fraction form
    252,024.40/378,209.40 = 111,883.60/x
  3. Step 3: Cross multiply
    252,024.40x = 378,209.40 × 111,883.60
  4. Step 4: Simplify right side
    252,024.40x = 42,315,429,225.84
  5. Step 5: Solve for x
    x = 42,315,429,225.84/252,024.40
  6. Step 6: Final answer
    x = 167,902.11

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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.