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Finding the Fourth Proportional to 296,019.96, 443,913.06 and 118,493.88

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Solution

The fourth proportional to 296,019.96, 443,913.06 and 118,493.88 is: 177,694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,019.96 : 443,913.06 = 118,493.88 : x
  2. Step 2: Convert to fraction form
    296,019.96/443,913.06 = 118,493.88/x
  3. Step 3: Cross multiply
    296,019.96x = 443,913.06 × 118,493.88
  4. Step 4: Simplify right side
    296,019.96x = 52,600,980,862.07
  5. Step 5: Solve for x
    x = 52,600,980,862.07/296,019.96
  6. Step 6: Final answer
    x = 177,694.03

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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.