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Finding the Fourth Proportional to 229,834.20, 344,751.30 and 177,346.20

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Solution

The fourth proportional to 229,834.20, 344,751.30 and 177,346.20 is: 266,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,834.20 : 344,751.30 = 177,346.20 : x
  2. Step 2: Convert to fraction form
    229,834.20/344,751.30 = 177,346.20/x
  3. Step 3: Cross multiply
    229,834.20x = 344,751.30 × 177,346.20
  4. Step 4: Simplify right side
    229,834.20x = 61,140,333,000.06
  5. Step 5: Solve for x
    x = 61,140,333,000.06/229,834.20
  6. Step 6: Final answer
    x = 266,019.30

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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.