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Finding the Fourth Proportional to 161,855.60, 242,524.20 and 102,585.20

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Solution

The fourth proportional to 161,855.60, 242,524.20 and 102,585.20 is: 153,713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,855.60 : 242,524.20 = 102,585.20 : x
  2. Step 2: Convert to fraction form
    161,855.60/242,524.20 = 102,585.20/x
  3. Step 3: Cross multiply
    161,855.60x = 242,524.20 × 102,585.20
  4. Step 4: Simplify right side
    161,855.60x = 24,879,393,561.84
  5. Step 5: Solve for x
    x = 24,879,393,561.84/161,855.60
  6. Step 6: Final answer
    x = 153,713.52

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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.