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Finding the Fourth Proportional to 119,164.64, 164,447.28 and 65,452.32

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Solution

The fourth proportional to 119,164.64, 164,447.28 and 65,452.32 is: 90,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,164.64 : 164,447.28 = 65,452.32 : x
  2. Step 2: Convert to fraction form
    119,164.64/164,447.28 = 65,452.32/x
  3. Step 3: Cross multiply
    119,164.64x = 164,447.28 × 65,452.32
  4. Step 4: Simplify right side
    119,164.64x = 10,763,455,993.69
  5. Step 5: Solve for x
    x = 10,763,455,993.69/119,164.64
  6. Step 6: Final answer
    x = 90,324.25

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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.