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Finding the Fourth Proportional to 229,064.80, 344,518.80 and 205,103.20

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Solution

The fourth proportional to 229,064.80, 344,518.80 and 205,103.20 is: 308,479.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,064.80 : 344,518.80 = 205,103.20 : x
  2. Step 2: Convert to fraction form
    229,064.80/344,518.80 = 205,103.20/x
  3. Step 3: Cross multiply
    229,064.80x = 344,518.80 × 205,103.20
  4. Step 4: Simplify right side
    229,064.80x = 70,661,908,340.16
  5. Step 5: Solve for x
    x = 70,661,908,340.16/229,064.80
  6. Step 6: Final answer
    x = 308,479.99

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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.