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Finding the Fourth Proportional to 223,427, 334,951.69 and 96,971.62

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Solution

The fourth proportional to 223,427, 334,951.69 and 96,971.62 is: 145,375.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,427 : 334,951.69 = 96,971.62 : x
  2. Step 2: Convert to fraction form
    223,427/334,951.69 = 96,971.62/x
  3. Step 3: Cross multiply
    223,427x = 334,951.69 × 96,971.62
  4. Step 4: Simplify right side
    223,427x = 32,480,808,001.04
  5. Step 5: Solve for x
    x = 32,480,808,001.04/223,427
  6. Step 6: Final answer
    x = 145,375.48

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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.