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Finding the Fourth Proportional to 219,425.41, 329,164.50 and 77,241.16

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Solution

The fourth proportional to 219,425.41, 329,164.50 and 77,241.16 is: 115,871.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,425.41 : 329,164.50 = 77,241.16 : x
  2. Step 2: Convert to fraction form
    219,425.41/329,164.50 = 77,241.16/x
  3. Step 3: Cross multiply
    219,425.41x = 329,164.50 × 77,241.16
  4. Step 4: Simplify right side
    219,425.41x = 25,425,046,580.17
  5. Step 5: Solve for x
    x = 25,425,046,580.17/219,425.41
  6. Step 6: Final answer
    x = 115,871.02

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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.