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Finding the Fourth Proportional to 255,377.34, 382,799.82 and 142,892.64

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Solution

The fourth proportional to 255,377.34, 382,799.82 and 142,892.64 is: 214,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,377.34 : 382,799.82 = 142,892.64 : x
  2. Step 2: Convert to fraction form
    255,377.34/382,799.82 = 142,892.64/x
  3. Step 3: Cross multiply
    255,377.34x = 382,799.82 × 142,892.64
  4. Step 4: Simplify right side
    255,377.34x = 54,699,276,871.32
  5. Step 5: Solve for x
    x = 54,699,276,871.32/255,377.34
  6. Step 6: Final answer
    x = 214,190.02

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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.