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Finding the Fourth Proportional to 255,298.56, 382,702.08 and 161,571.84

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Solution

The fourth proportional to 255,298.56, 382,702.08 and 161,571.84 is: 242,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,298.56 : 382,702.08 = 161,571.84 : x
  2. Step 2: Convert to fraction form
    255,298.56/382,702.08 = 161,571.84/x
  3. Step 3: Cross multiply
    255,298.56x = 382,702.08 × 161,571.84
  4. Step 4: Simplify right side
    255,298.56x = 61,833,879,237.43
  5. Step 5: Solve for x
    x = 61,833,879,237.43/255,298.56
  6. Step 6: Final answer
    x = 242,202.22

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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.