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Finding the Fourth Proportional to 255,714.40, 383,744.40 and 143,394.40

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Solution

The fourth proportional to 255,714.40, 383,744.40 and 143,394.40 is: 215,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,714.40 : 383,744.40 = 143,394.40 : x
  2. Step 2: Convert to fraction form
    255,714.40/383,744.40 = 143,394.40/x
  3. Step 3: Cross multiply
    255,714.40x = 383,744.40 × 143,394.40
  4. Step 4: Simplify right side
    255,714.40x = 55,026,797,991.36
  5. Step 5: Solve for x
    x = 55,026,797,991.36/255,714.40
  6. Step 6: Final answer
    x = 215,188.50

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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.