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Finding the Fourth Proportional to 218,660.64, 301,746.24 and 123,161.64

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Solution

The fourth proportional to 218,660.64, 301,746.24 and 123,161.64 is: 169,960.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,660.64 : 301,746.24 = 123,161.64 : x
  2. Step 2: Convert to fraction form
    218,660.64/301,746.24 = 123,161.64/x
  3. Step 3: Cross multiply
    218,660.64x = 301,746.24 × 123,161.64
  4. Step 4: Simplify right side
    218,660.64x = 37,163,561,782.23
  5. Step 5: Solve for x
    x = 37,163,561,782.23/218,660.64
  6. Step 6: Final answer
    x = 169,960.00

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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.