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Finding the Fourth Proportional to 280,116.90, 420,175.35 and 102,551.94

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Solution

The fourth proportional to 280,116.90, 420,175.35 and 102,551.94 is: 153,827.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,116.90 : 420,175.35 = 102,551.94 : x
  2. Step 2: Convert to fraction form
    280,116.90/420,175.35 = 102,551.94/x
  3. Step 3: Cross multiply
    280,116.90x = 420,175.35 × 102,551.94
  4. Step 4: Simplify right side
    280,116.90x = 43,089,797,282.68
  5. Step 5: Solve for x
    x = 43,089,797,282.68/280,116.90
  6. Step 6: Final answer
    x = 153,827.91

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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.