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Finding the Fourth Proportional to 223,904.64, 309,002.46 and 123,302.64

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Solution

The fourth proportional to 223,904.64, 309,002.46 and 123,302.64 is: 170,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,904.64 : 309,002.46 = 123,302.64 : x
  2. Step 2: Convert to fraction form
    223,904.64/309,002.46 = 123,302.64/x
  3. Step 3: Cross multiply
    223,904.64x = 309,002.46 × 123,302.64
  4. Step 4: Simplify right side
    223,904.64x = 38,100,819,084.49
  5. Step 5: Solve for x
    x = 38,100,819,084.49/223,904.64
  6. Step 6: Final answer
    x = 170,165.38

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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.