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Finding the Fourth Proportional to 469,951.81, 705,042.53 and 150,103.74

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Solution

The fourth proportional to 469,951.81, 705,042.53 and 150,103.74 is: 225,192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,951.81 : 705,042.53 = 150,103.74 : x
  2. Step 2: Convert to fraction form
    469,951.81/705,042.53 = 150,103.74/x
  3. Step 3: Cross multiply
    469,951.81x = 705,042.53 × 150,103.74
  4. Step 4: Simplify right side
    469,951.81x = 105,829,519,861.54
  5. Step 5: Solve for x
    x = 105,829,519,861.54/469,951.81
  6. Step 6: Final answer
    x = 225,192.28

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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.