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Finding the Fourth Proportional to 274,706.48, 411,974.94 and 97,172.66

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Solution

The fourth proportional to 274,706.48, 411,974.94 and 97,172.66 is: 145,729.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,706.48 : 411,974.94 = 97,172.66 : x
  2. Step 2: Convert to fraction form
    274,706.48/411,974.94 = 97,172.66/x
  3. Step 3: Cross multiply
    274,706.48x = 411,974.94 × 97,172.66
  4. Step 4: Simplify right side
    274,706.48x = 40,032,700,773.14
  5. Step 5: Solve for x
    x = 40,032,700,773.14/274,706.48
  6. Step 6: Final answer
    x = 145,729.00

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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.