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Finding the Fourth Proportional to 319,099.60, 478,714.20 and 108,758.80

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Solution

The fourth proportional to 319,099.60, 478,714.20 and 108,758.80 is: 163,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,099.60 : 478,714.20 = 108,758.80 : x
  2. Step 2: Convert to fraction form
    319,099.60/478,714.20 = 108,758.80/x
  3. Step 3: Cross multiply
    319,099.60x = 478,714.20 × 108,758.80
  4. Step 4: Simplify right side
    319,099.60x = 52,064,381,934.96
  5. Step 5: Solve for x
    x = 52,064,381,934.96/319,099.60
  6. Step 6: Final answer
    x = 163,160.29

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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.