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Finding the Fourth Proportional to 280,325.30, 420,543.34 and 102,833.84

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Solution

The fourth proportional to 280,325.30, 420,543.34 and 102,833.84 is: 154,271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,325.30 : 420,543.34 = 102,833.84 : x
  2. Step 2: Convert to fraction form
    280,325.30/420,543.34 = 102,833.84/x
  3. Step 3: Cross multiply
    280,325.30x = 420,543.34 × 102,833.84
  4. Step 4: Simplify right side
    280,325.30x = 43,246,086,538.63
  5. Step 5: Solve for x
    x = 43,246,086,538.63/280,325.30
  6. Step 6: Final answer
    x = 154,271.08

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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.