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Finding the Fourth Proportional to 280,866.60, 420,425.10 and 202,134.60

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Solution

The fourth proportional to 280,866.60, 420,425.10 and 202,134.60 is: 302,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,866.60 : 420,425.10 = 202,134.60 : x
  2. Step 2: Convert to fraction form
    280,866.60/420,425.10 = 202,134.60/x
  3. Step 3: Cross multiply
    280,866.60x = 420,425.10 × 202,134.60
  4. Step 4: Simplify right side
    280,866.60x = 84,982,459,418.46
  5. Step 5: Solve for x
    x = 84,982,459,418.46/280,866.60
  6. Step 6: Final answer
    x = 302,572.32

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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.