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Finding the Fourth Proportional to 212,658.62, 293,468.73 and 117,165.32

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Solution

The fourth proportional to 212,658.62, 293,468.73 and 117,165.32 is: 161,688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,658.62 : 293,468.73 = 117,165.32 : x
  2. Step 2: Convert to fraction form
    212,658.62/293,468.73 = 117,165.32/x
  3. Step 3: Cross multiply
    212,658.62x = 293,468.73 × 117,165.32
  4. Step 4: Simplify right side
    212,658.62x = 34,384,356,193.10
  5. Step 5: Solve for x
    x = 34,384,356,193.10/212,658.62
  6. Step 6: Final answer
    x = 161,688.05

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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.