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Finding the Fourth Proportional to 280,381.77, 420,259.17 and 147,276.09

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Solution

The fourth proportional to 280,381.77, 420,259.17 and 147,276.09 is: 220,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,381.77 : 420,259.17 = 147,276.09 : x
  2. Step 2: Convert to fraction form
    280,381.77/420,259.17 = 147,276.09/x
  3. Step 3: Cross multiply
    280,381.77x = 420,259.17 × 147,276.09
  4. Step 4: Simplify right side
    280,381.77x = 61,894,127,344.25
  5. Step 5: Solve for x
    x = 61,894,127,344.25/280,381.77
  6. Step 6: Final answer
    x = 220,749.47

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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.