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Finding the Fourth Proportional to 197,657.69, 273,227.24 and 176,358.50

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Solution

The fourth proportional to 197,657.69, 273,227.24 and 176,358.50 is: 243,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,657.69 : 273,227.24 = 176,358.50 : x
  2. Step 2: Convert to fraction form
    197,657.69/273,227.24 = 176,358.50/x
  3. Step 3: Cross multiply
    197,657.69x = 273,227.24 × 176,358.50
  4. Step 4: Simplify right side
    197,657.69x = 48,185,946,304.90
  5. Step 5: Solve for x
    x = 48,185,946,304.90/197,657.69
  6. Step 6: Final answer
    x = 243,784.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.