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Finding the Fourth Proportional to 229,562, 344,329.32 and 103,169.60

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Solution

The fourth proportional to 229,562, 344,329.32 and 103,169.60 is: 154,748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,562 : 344,329.32 = 103,169.60 : x
  2. Step 2: Convert to fraction form
    229,562/344,329.32 = 103,169.60/x
  3. Step 3: Cross multiply
    229,562x = 344,329.32 × 103,169.60
  4. Step 4: Simplify right side
    229,562x = 35,524,318,212.67
  5. Step 5: Solve for x
    x = 35,524,318,212.67/229,562
  6. Step 6: Final answer
    x = 154,748.25

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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.