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Finding the Fourth Proportional to 229,594.60, 344,506.14 and 153,744.04

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Solution

The fourth proportional to 229,594.60, 344,506.14 and 153,744.04 is: 230,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,594.60 : 344,506.14 = 153,744.04 : x
  2. Step 2: Convert to fraction form
    229,594.60/344,506.14 = 153,744.04/x
  3. Step 3: Cross multiply
    229,594.60x = 344,506.14 × 153,744.04
  4. Step 4: Simplify right side
    229,594.60x = 52,965,765,768.41
  5. Step 5: Solve for x
    x = 52,965,765,768.41/229,594.60
  6. Step 6: Final answer
    x = 230,692.56

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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.