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Finding the Fourth Proportional to 230,796, 318,460.01 and 154,192.28

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Solution

The fourth proportional to 230,796, 318,460.01 and 154,192.28 is: 212,759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,796 : 318,460.01 = 154,192.28 : x
  2. Step 2: Convert to fraction form
    230,796/318,460.01 = 154,192.28/x
  3. Step 3: Cross multiply
    230,796x = 318,460.01 × 154,192.28
  4. Step 4: Simplify right side
    230,796x = 49,104,072,667.46
  5. Step 5: Solve for x
    x = 49,104,072,667.46/230,796
  6. Step 6: Final answer
    x = 212,759.63

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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.