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Finding the Fourth Proportional to 212,410.89, 293,127.12 and 116,916.91

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Solution

The fourth proportional to 212,410.89, 293,127.12 and 116,916.91 is: 161,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,410.89 : 293,127.12 = 116,916.91 : x
  2. Step 2: Convert to fraction form
    212,410.89/293,127.12 = 116,916.91/x
  3. Step 3: Cross multiply
    212,410.89x = 293,127.12 × 116,916.91
  4. Step 4: Simplify right side
    212,410.89x = 34,271,517,107.60
  5. Step 5: Solve for x
    x = 34,271,517,107.60/212,410.89
  6. Step 6: Final answer
    x = 161,345.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.