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Finding the Fourth Proportional to 252,714.38, 348,745.62 and 145,305.40

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Solution

The fourth proportional to 252,714.38, 348,745.62 and 145,305.40 is: 200,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,714.38 : 348,745.62 = 145,305.40 : x
  2. Step 2: Convert to fraction form
    252,714.38/348,745.62 = 145,305.40/x
  3. Step 3: Cross multiply
    252,714.38x = 348,745.62 × 145,305.40
  4. Step 4: Simplify right side
    252,714.38x = 50,674,621,812.35
  5. Step 5: Solve for x
    x = 50,674,621,812.35/252,714.38
  6. Step 6: Final answer
    x = 200,521.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.