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Finding the Fourth Proportional to 109,471.20, 164,077.20 and 46,291.20

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Solution

The fourth proportional to 109,471.20, 164,077.20 and 46,291.20 is: 69,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,471.20 : 164,077.20 = 46,291.20 : x
  2. Step 2: Convert to fraction form
    109,471.20/164,077.20 = 46,291.20/x
  3. Step 3: Cross multiply
    109,471.20x = 164,077.20 × 46,291.20
  4. Step 4: Simplify right side
    109,471.20x = 7,595,330,480.64
  5. Step 5: Solve for x
    x = 7,595,330,480.64/109,471.20
  6. Step 6: Final answer
    x = 69,382.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.