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Finding the Fourth Proportional to 161,447.60, 242,257.80 and 72,714.80

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Solution

The fourth proportional to 161,447.60, 242,257.80 and 72,714.80 is: 109,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,447.60 : 242,257.80 = 72,714.80 : x
  2. Step 2: Convert to fraction form
    161,447.60/242,257.80 = 72,714.80/x
  3. Step 3: Cross multiply
    161,447.60x = 242,257.80 × 72,714.80
  4. Step 4: Simplify right side
    161,447.60x = 17,615,727,475.44
  5. Step 5: Solve for x
    x = 17,615,727,475.44/161,447.60
  6. Step 6: Final answer
    x = 109,111.11

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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.