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Finding the Fourth Proportional to 173,853.20, 260,779.80 and 102,702.80

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Solution

The fourth proportional to 173,853.20, 260,779.80 and 102,702.80 is: 154,054.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,853.20 : 260,779.80 = 102,702.80 : x
  2. Step 2: Convert to fraction form
    173,853.20/260,779.80 = 102,702.80/x
  3. Step 3: Cross multiply
    173,853.20x = 260,779.80 × 102,702.80
  4. Step 4: Simplify right side
    173,853.20x = 26,782,815,643.44
  5. Step 5: Solve for x
    x = 26,782,815,643.44/173,853.20
  6. Step 6: Final answer
    x = 154,054.20

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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.