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Finding the Fourth Proportional to 274,705.48, 411,973.44 and 97,171.66

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Solution

The fourth proportional to 274,705.48, 411,973.44 and 97,171.66 is: 145,727.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,705.48 : 411,973.44 = 97,171.66 : x
  2. Step 2: Convert to fraction form
    274,705.48/411,973.44 = 97,171.66/x
  3. Step 3: Cross multiply
    274,705.48x = 411,973.44 × 97,171.66
  4. Step 4: Simplify right side
    274,705.48x = 40,032,143,040.71
  5. Step 5: Solve for x
    x = 40,032,143,040.71/274,705.48
  6. Step 6: Final answer
    x = 145,727.50

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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.