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Finding the Fourth Proportional to 229,994.64, 344,262.96 and 166,600.80

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Solution

The fourth proportional to 229,994.64, 344,262.96 and 166,600.80 is: 249,373.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,994.64 : 344,262.96 = 166,600.80 : x
  2. Step 2: Convert to fraction form
    229,994.64/344,262.96 = 166,600.80/x
  3. Step 3: Cross multiply
    229,994.64x = 344,262.96 × 166,600.80
  4. Step 4: Simplify right side
    229,994.64x = 57,354,484,546.37
  5. Step 5: Solve for x
    x = 57,354,484,546.37/229,994.64
  6. Step 6: Final answer
    x = 249,373.14

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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.