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Finding the Fourth Proportional to 197,615.76, 296,242.01 and 71,225.08

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Solution

The fourth proportional to 197,615.76, 296,242.01 and 71,225.08 is: 106,772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,615.76 : 296,242.01 = 71,225.08 : x
  2. Step 2: Convert to fraction form
    197,615.76/296,242.01 = 71,225.08/x
  3. Step 3: Cross multiply
    197,615.76x = 296,242.01 × 71,225.08
  4. Step 4: Simplify right side
    197,615.76x = 21,099,860,861.61
  5. Step 5: Solve for x
    x = 21,099,860,861.61/197,615.76
  6. Step 6: Final answer
    x = 106,772.16

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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.