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Finding the Fourth Proportional to 223,167.64, 307,976.70 and 122,567.80

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Solution

The fourth proportional to 223,167.64, 307,976.70 and 122,567.80 is: 169,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,167.64 : 307,976.70 = 122,567.80 : x
  2. Step 2: Convert to fraction form
    223,167.64/307,976.70 = 122,567.80/x
  3. Step 3: Cross multiply
    223,167.64x = 307,976.70 × 122,567.80
  4. Step 4: Simplify right side
    223,167.64x = 37,748,026,570.26
  5. Step 5: Solve for x
    x = 37,748,026,570.26/223,167.64
  6. Step 6: Final answer
    x = 169,146.51

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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.