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Finding the Fourth Proportional to 229,210.32, 343,817.85 and 69,287.58

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Solution

The fourth proportional to 229,210.32, 343,817.85 and 69,287.58 is: 103,932.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,210.32 : 343,817.85 = 69,287.58 : x
  2. Step 2: Convert to fraction form
    229,210.32/343,817.85 = 69,287.58/x
  3. Step 3: Cross multiply
    229,210.32x = 343,817.85 × 69,287.58
  4. Step 4: Simplify right side
    229,210.32x = 23,822,306,787.30
  5. Step 5: Solve for x
    x = 23,822,306,787.30/229,210.32
  6. Step 6: Final answer
    x = 103,932.09

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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.