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Finding the Fourth Proportional to 165,398.34, 248,241.56 and 94,463

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Solution

The fourth proportional to 165,398.34, 248,241.56 and 94,463 is: 141,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,398.34 : 248,241.56 = 94,463 : x
  2. Step 2: Convert to fraction form
    165,398.34/248,241.56 = 94,463/x
  3. Step 3: Cross multiply
    165,398.34x = 248,241.56 × 94,463
  4. Step 4: Simplify right side
    165,398.34x = 23,449,642,482.28
  5. Step 5: Solve for x
    x = 23,449,642,482.28/165,398.34
  6. Step 6: Final answer
    x = 141,776.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.