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Finding the Fourth Proportional to 142,883.95, 214,298.59 and 71,786.88

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Solution

The fourth proportional to 142,883.95, 214,298.59 and 71,786.88 is: 107,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,883.95 : 214,298.59 = 71,786.88 : x
  2. Step 2: Convert to fraction form
    142,883.95/214,298.59 = 71,786.88/x
  3. Step 3: Cross multiply
    142,883.95x = 214,298.59 × 71,786.88
  4. Step 4: Simplify right side
    142,883.95x = 15,383,827,164.50
  5. Step 5: Solve for x
    x = 15,383,827,164.50/142,883.95
  6. Step 6: Final answer
    x = 107,666.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.