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Finding the Fourth Proportional to 185,853.57, 278,779.43 and 52,734.08

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Solution

The fourth proportional to 185,853.57, 278,779.43 and 52,734.08 is: 79,100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,853.57 : 278,779.43 = 52,734.08 : x
  2. Step 2: Convert to fraction form
    185,853.57/278,779.43 = 52,734.08/x
  3. Step 3: Cross multiply
    185,853.57x = 278,779.43 × 52,734.08
  4. Step 4: Simplify right side
    185,853.57x = 14,701,175,106.41
  5. Step 5: Solve for x
    x = 14,701,175,106.41/185,853.57
  6. Step 6: Final answer
    x = 79,100.85

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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.