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Finding the Fourth Proportional to 283,137.32, 424,968.54 and 142,994.28

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Solution

The fourth proportional to 283,137.32, 424,968.54 and 142,994.28 is: 214,624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,137.32 : 424,968.54 = 142,994.28 : x
  2. Step 2: Convert to fraction form
    283,137.32/424,968.54 = 142,994.28/x
  3. Step 3: Cross multiply
    283,137.32x = 424,968.54 × 142,994.28
  4. Step 4: Simplify right side
    283,137.32x = 60,768,070,399.95
  5. Step 5: Solve for x
    x = 60,768,070,399.95/283,137.32
  6. Step 6: Final answer
    x = 214,624.02

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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.