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Finding the Fourth Proportional to 229,832.40, 344,108.70 and 117,269.40

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Solution

The fourth proportional to 229,832.40, 344,108.70 and 117,269.40 is: 175,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,832.40 : 344,108.70 = 117,269.40 : x
  2. Step 2: Convert to fraction form
    229,832.40/344,108.70 = 117,269.40/x
  3. Step 3: Cross multiply
    229,832.40x = 344,108.70 × 117,269.40
  4. Step 4: Simplify right side
    229,832.40x = 40,353,420,783.78
  5. Step 5: Solve for x
    x = 40,353,420,783.78/229,832.40
  6. Step 6: Final answer
    x = 175,577.60

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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.