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Finding the Fourth Proportional to 212,160.64, 292,789.20 and 116,674.60

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Solution

The fourth proportional to 212,160.64, 292,789.20 and 116,674.60 is: 161,015.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,160.64 : 292,789.20 = 116,674.60 : x
  2. Step 2: Convert to fraction form
    212,160.64/292,789.20 = 116,674.60/x
  3. Step 3: Cross multiply
    212,160.64x = 292,789.20 × 116,674.60
  4. Step 4: Simplify right side
    212,160.64x = 34,161,062,794.32
  5. Step 5: Solve for x
    x = 34,161,062,794.32/212,160.64
  6. Step 6: Final answer
    x = 161,015.08

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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.