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Finding the Fourth Proportional to 229,094.40, 344,051.20 and 166,835.20

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Solution

The fourth proportional to 229,094.40, 344,051.20 and 166,835.20 is: 250,551.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,094.40 : 344,051.20 = 166,835.20 : x
  2. Step 2: Convert to fraction form
    229,094.40/344,051.20 = 166,835.20/x
  3. Step 3: Cross multiply
    229,094.40x = 344,051.20 × 166,835.20
  4. Step 4: Simplify right side
    229,094.40x = 57,399,850,762.24
  5. Step 5: Solve for x
    x = 57,399,850,762.24/229,094.40
  6. Step 6: Final answer
    x = 250,551.09

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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.