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Finding the Fourth Proportional to 280,871.60, 420,432.60 and 202,139.60

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Solution

The fourth proportional to 280,871.60, 420,432.60 and 202,139.60 is: 302,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,871.60 : 420,432.60 = 202,139.60 : x
  2. Step 2: Convert to fraction form
    280,871.60/420,432.60 = 202,139.60/x
  3. Step 3: Cross multiply
    280,871.60x = 420,432.60 × 202,139.60
  4. Step 4: Simplify right side
    280,871.60x = 84,986,077,590.96
  5. Step 5: Solve for x
    x = 84,986,077,590.96/280,871.60
  6. Step 6: Final answer
    x = 302,579.82

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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.