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Finding the Fourth Proportional to 272,702.70, 409,054.05 and 85,714.20

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Solution

The fourth proportional to 272,702.70, 409,054.05 and 85,714.20 is: 128,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,702.70 : 409,054.05 = 85,714.20 : x
  2. Step 2: Convert to fraction form
    272,702.70/409,054.05 = 85,714.20/x
  3. Step 3: Cross multiply
    272,702.70x = 409,054.05 × 85,714.20
  4. Step 4: Simplify right side
    272,702.70x = 35,061,740,652.51
  5. Step 5: Solve for x
    x = 35,061,740,652.51/272,702.70
  6. Step 6: Final answer
    x = 128,571.30

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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.