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Finding the Fourth Proportional to 204,714.10, 307,114.35 and 64,486.90

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Solution

The fourth proportional to 204,714.10, 307,114.35 and 64,486.90 is: 96,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,714.10 : 307,114.35 = 64,486.90 : x
  2. Step 2: Convert to fraction form
    204,714.10/307,114.35 = 64,486.90/x
  3. Step 3: Cross multiply
    204,714.10x = 307,114.35 × 64,486.90
  4. Step 4: Simplify right side
    204,714.10x = 19,804,852,377.02
  5. Step 5: Solve for x
    x = 19,804,852,377.02/204,714.10
  6. Step 6: Final answer
    x = 96,743.96

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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.