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Finding the Fourth Proportional to 118,714.90, 178,071.68 and 29,968.04

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Solution

The fourth proportional to 118,714.90, 178,071.68 and 29,968.04 is: 44,951.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,714.90 : 178,071.68 = 29,968.04 : x
  2. Step 2: Convert to fraction form
    118,714.90/178,071.68 = 29,968.04/x
  3. Step 3: Cross multiply
    118,714.90x = 178,071.68 × 29,968.04
  4. Step 4: Simplify right side
    118,714.90x = 5,336,459,229.11
  5. Step 5: Solve for x
    x = 5,336,459,229.11/118,714.90
  6. Step 6: Final answer
    x = 44,951.89

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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.