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Finding the Fourth Proportional to 212,216.67, 292,864.55 and 116,725.87

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Solution

The fourth proportional to 212,216.67, 292,864.55 and 116,725.87 is: 161,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,216.67 : 292,864.55 = 116,725.87 : x
  2. Step 2: Convert to fraction form
    212,216.67/292,864.55 = 116,725.87/x
  3. Step 3: Cross multiply
    212,216.67x = 292,864.55 × 116,725.87
  4. Step 4: Simplify right side
    212,216.67x = 34,184,869,173.36
  5. Step 5: Solve for x
    x = 34,184,869,173.36/212,216.67
  6. Step 6: Final answer
    x = 161,084.75

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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.