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Finding the Fourth Proportional to 229,849.60, 344,774.40 and 151,052.80

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Solution

The fourth proportional to 229,849.60, 344,774.40 and 151,052.80 is: 226,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,849.60 : 344,774.40 = 151,052.80 : x
  2. Step 2: Convert to fraction form
    229,849.60/344,774.40 = 151,052.80/x
  3. Step 3: Cross multiply
    229,849.60x = 344,774.40 × 151,052.80
  4. Step 4: Simplify right side
    229,849.60x = 52,079,138,488.32
  5. Step 5: Solve for x
    x = 52,079,138,488.32/229,849.60
  6. Step 6: Final answer
    x = 226,579.20

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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.