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Finding the Fourth Proportional to 229,378.80, 344,068.25 and 71,620.77

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Solution

The fourth proportional to 229,378.80, 344,068.25 and 71,620.77 is: 107,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,378.80 : 344,068.25 = 71,620.77 : x
  2. Step 2: Convert to fraction form
    229,378.80/344,068.25 = 71,620.77/x
  3. Step 3: Cross multiply
    229,378.80x = 344,068.25 × 71,620.77
  4. Step 4: Simplify right side
    229,378.80x = 24,642,432,639.45
  5. Step 5: Solve for x
    x = 24,642,432,639.45/229,378.80
  6. Step 6: Final answer
    x = 107,431.17

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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.