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Finding the Fourth Proportional to 255,706.32, 382,992.00 and 165,458.85

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Solution

The fourth proportional to 255,706.32, 382,992.00 and 165,458.85 is: 247,821.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,706.32 : 382,992.00 = 165,458.85 : x
  2. Step 2: Convert to fraction form
    255,706.32/382,992.00 = 165,458.85/x
  3. Step 3: Cross multiply
    255,706.32x = 382,992.00 × 165,458.85
  4. Step 4: Simplify right side
    255,706.32x = 63,369,415,976.84
  5. Step 5: Solve for x
    x = 63,369,415,976.84/255,706.32
  6. Step 6: Final answer
    x = 247,821.08

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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.