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Finding the Fourth Proportional to 223,043.50, 307,796.38 and 127,546.93

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Solution

The fourth proportional to 223,043.50, 307,796.38 and 127,546.93 is: 176,012.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,043.50 : 307,796.38 = 127,546.93 : x
  2. Step 2: Convert to fraction form
    223,043.50/307,796.38 = 127,546.93/x
  3. Step 3: Cross multiply
    223,043.50x = 307,796.38 × 127,546.93
  4. Step 4: Simplify right side
    223,043.50x = 39,258,483,334.11
  5. Step 5: Solve for x
    x = 39,258,483,334.11/223,043.50
  6. Step 6: Final answer
    x = 176,012.68

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