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Finding the Fourth Proportional to 561,186.31, 841,903.84 and 161,795.92

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Solution

The fourth proportional to 561,186.31, 841,903.84 and 161,795.92 is: 242,729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,186.31 : 841,903.84 = 161,795.92 : x
  2. Step 2: Convert to fraction form
    561,186.31/841,903.84 = 161,795.92/x
  3. Step 3: Cross multiply
    561,186.31x = 841,903.84 × 161,795.92
  4. Step 4: Simplify right side
    561,186.31x = 136,216,606,344.33
  5. Step 5: Solve for x
    x = 136,216,606,344.33/561,186.31
  6. Step 6: Final answer
    x = 242,729.74

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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.