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Finding the Fourth Proportional to 230,964.40, 346,446.60 and 152,167.60

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Solution

The fourth proportional to 230,964.40, 346,446.60 and 152,167.60 is: 228,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,964.40 : 346,446.60 = 152,167.60 : x
  2. Step 2: Convert to fraction form
    230,964.40/346,446.60 = 152,167.60/x
  3. Step 3: Cross multiply
    230,964.40x = 346,446.60 × 152,167.60
  4. Step 4: Simplify right side
    230,964.40x = 52,717,947,650.16
  5. Step 5: Solve for x
    x = 52,717,947,650.16/230,964.40
  6. Step 6: Final answer
    x = 228,251.40

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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.