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Finding the Fourth Proportional to 223,374, 308,256.12 and 122,772

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Solution

The fourth proportional to 223,374, 308,256.12 and 122,772 is: 169,425.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,374 : 308,256.12 = 122,772 : x
  2. Step 2: Convert to fraction form
    223,374/308,256.12 = 122,772/x
  3. Step 3: Cross multiply
    223,374x = 308,256.12 × 122,772
  4. Step 4: Simplify right side
    223,374x = 37,845,220,364.64
  5. Step 5: Solve for x
    x = 37,845,220,364.64/223,374
  6. Step 6: Final answer
    x = 169,425.36

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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.