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Finding the Fourth Proportional to 255,706.70, 382,992.56 and 165,459.23

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Solution

The fourth proportional to 255,706.70, 382,992.56 and 165,459.23 is: 247,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,706.70 : 382,992.56 = 165,459.23 : x
  2. Step 2: Convert to fraction form
    255,706.70/382,992.56 = 165,459.23/x
  3. Step 3: Cross multiply
    255,706.70x = 382,992.56 × 165,459.23
  4. Step 4: Simplify right side
    255,706.70x = 63,369,652,702.20
  5. Step 5: Solve for x
    x = 63,369,652,702.20/255,706.70
  6. Step 6: Final answer
    x = 247,821.64

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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.