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Finding the Fourth Proportional to 280,263.36, 420,270 and 102,646.56

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Solution

The fourth proportional to 280,263.36, 420,270 and 102,646.56 is: 153,924.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,263.36 : 420,270 = 102,646.56 : x
  2. Step 2: Convert to fraction form
    280,263.36/420,270 = 102,646.56/x
  3. Step 3: Cross multiply
    280,263.36x = 420,270 × 102,646.56
  4. Step 4: Simplify right side
    280,263.36x = 43,139,269,771.20
  5. Step 5: Solve for x
    x = 43,139,269,771.20/280,263.36
  6. Step 6: Final answer
    x = 153,924.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.