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Finding the Fourth Proportional to 223,200.84, 307,806.30 and 146,584.92

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Solution

The fourth proportional to 223,200.84, 307,806.30 and 146,584.92 is: 202,148.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,200.84 : 307,806.30 = 146,584.92 : x
  2. Step 2: Convert to fraction form
    223,200.84/307,806.30 = 146,584.92/x
  3. Step 3: Cross multiply
    223,200.84x = 307,806.30 × 146,584.92
  4. Step 4: Simplify right side
    223,200.84x = 45,119,761,861.00
  5. Step 5: Solve for x
    x = 45,119,761,861.00/223,200.84
  6. Step 6: Final answer
    x = 202,148.71

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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.