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Finding the Fourth Proportional to 280,319.48, 420,534.61 and 102,828.03

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Solution

The fourth proportional to 280,319.48, 420,534.61 and 102,828.03 is: 154,262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,319.48 : 420,534.61 = 102,828.03 : x
  2. Step 2: Convert to fraction form
    280,319.48/420,534.61 = 102,828.03/x
  3. Step 3: Cross multiply
    280,319.48x = 420,534.61 × 102,828.03
  4. Step 4: Simplify right side
    280,319.48x = 43,242,745,493.12
  5. Step 5: Solve for x
    x = 43,242,745,493.12/280,319.48
  6. Step 6: Final answer
    x = 154,262.36

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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.