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Finding the Fourth Proportional to 212,282.73, 292,950.16 and 116,787.38

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Solution

The fourth proportional to 212,282.73, 292,950.16 and 116,787.38 is: 161,166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,282.73 : 292,950.16 = 116,787.38 : x
  2. Step 2: Convert to fraction form
    212,282.73/292,950.16 = 116,787.38/x
  3. Step 3: Cross multiply
    212,282.73x = 292,950.16 × 116,787.38
  4. Step 4: Simplify right side
    212,282.73x = 34,212,879,900.26
  5. Step 5: Solve for x
    x = 34,212,879,900.26/212,282.73
  6. Step 6: Final answer
    x = 161,166.57

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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.