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Finding the Fourth Proportional to 275,435.84, 413,017.32 and 97,916.24

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Solution

The fourth proportional to 275,435.84, 413,017.32 and 97,916.24 is: 146,825.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,435.84 : 413,017.32 = 97,916.24 : x
  2. Step 2: Convert to fraction form
    275,435.84/413,017.32 = 97,916.24/x
  3. Step 3: Cross multiply
    275,435.84x = 413,017.32 × 97,916.24
  4. Step 4: Simplify right side
    275,435.84x = 40,441,103,029.28
  5. Step 5: Solve for x
    x = 40,441,103,029.28/275,435.84
  6. Step 6: Final answer
    x = 146,825.86

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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.