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Finding the Fourth Proportional to 212,289.32, 292,963.80 and 116,796.29

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Solution

The fourth proportional to 212,289.32, 292,963.80 and 116,796.29 is: 161,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,289.32 : 292,963.80 = 116,796.29 : x
  2. Step 2: Convert to fraction form
    212,289.32/292,963.80 = 116,796.29/x
  3. Step 3: Cross multiply
    212,289.32x = 292,963.80 × 116,796.29
  4. Step 4: Simplify right side
    212,289.32x = 34,217,084,944.30
  5. Step 5: Solve for x
    x = 34,217,084,944.30/212,289.32
  6. Step 6: Final answer
    x = 161,181.38

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1.5x scale

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.