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Finding the Fourth Proportional to 223,165.64, 307,973.94 and 122,565.80

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Solution

The fourth proportional to 223,165.64, 307,973.94 and 122,565.80 is: 169,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,165.64 : 307,973.94 = 122,565.80 : x
  2. Step 2: Convert to fraction form
    223,165.64/307,973.94 = 122,565.80/x
  3. Step 3: Cross multiply
    223,165.64x = 307,973.94 × 122,565.80
  4. Step 4: Simplify right side
    223,165.64x = 37,747,072,335.25
  5. Step 5: Solve for x
    x = 37,747,072,335.25/223,165.64
  6. Step 6: Final answer
    x = 169,143.75

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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.