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Finding the Fourth Proportional to 194,507.31, 268,424.84 and 108,465.46

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Solution

The fourth proportional to 194,507.31, 268,424.84 and 108,465.46 is: 149,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,507.31 : 268,424.84 = 108,465.46 : x
  2. Step 2: Convert to fraction form
    194,507.31/268,424.84 = 108,465.46/x
  3. Step 3: Cross multiply
    194,507.31x = 268,424.84 × 108,465.46
  4. Step 4: Simplify right side
    194,507.31x = 29,114,823,746.03
  5. Step 5: Solve for x
    x = 29,114,823,746.03/194,507.31
  6. Step 6: Final answer
    x = 149,684.98

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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.