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Finding the Fourth Proportional to 223,402.50, 308,295.45 and 127,940.78

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Solution

The fourth proportional to 223,402.50, 308,295.45 and 127,940.78 is: 176,558.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,402.50 : 308,295.45 = 127,940.78 : x
  2. Step 2: Convert to fraction form
    223,402.50/308,295.45 = 127,940.78/x
  3. Step 3: Cross multiply
    223,402.50x = 308,295.45 × 127,940.78
  4. Step 4: Simplify right side
    223,402.50x = 39,443,560,343.45
  5. Step 5: Solve for x
    x = 39,443,560,343.45/223,402.50
  6. Step 6: Final answer
    x = 176,558.28

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1.5x scale

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.