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Finding the Fourth Proportional to 274,411.08, 411,665.58 and 97,021.08

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Solution

The fourth proportional to 274,411.08, 411,665.58 and 97,021.08 is: 145,548.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,411.08 : 411,665.58 = 97,021.08 : x
  2. Step 2: Convert to fraction form
    274,411.08/411,665.58 = 97,021.08/x
  3. Step 3: Cross multiply
    274,411.08x = 411,665.58 × 97,021.08
  4. Step 4: Simplify right side
    274,411.08x = 39,940,239,170.43
  5. Step 5: Solve for x
    x = 39,940,239,170.43/274,411.08
  6. Step 6: Final answer
    x = 145,548.93

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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.