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Finding the Fourth Proportional to 197,300.22, 296,024.85 and 118,469.22

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Solution

The fourth proportional to 197,300.22, 296,024.85 and 118,469.22 is: 177,748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,300.22 : 296,024.85 = 118,469.22 : x
  2. Step 2: Convert to fraction form
    197,300.22/296,024.85 = 118,469.22/x
  3. Step 3: Cross multiply
    197,300.22x = 296,024.85 × 118,469.22
  4. Step 4: Simplify right side
    197,300.22x = 35,069,833,080.12
  5. Step 5: Solve for x
    x = 35,069,833,080.12/197,300.22
  6. Step 6: Final answer
    x = 177,748.58

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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.