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Finding the Fourth Proportional to 655,193.96, 982,796.40 and 181,916.22

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Solution

The fourth proportional to 655,193.96, 982,796.40 and 181,916.22 is: 272,875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,193.96 : 982,796.40 = 181,916.22 : x
  2. Step 2: Convert to fraction form
    655,193.96/982,796.40 = 181,916.22/x
  3. Step 3: Cross multiply
    655,193.96x = 982,796.40 × 181,916.22
  4. Step 4: Simplify right side
    655,193.96x = 178,786,606,117.61
  5. Step 5: Solve for x
    x = 178,786,606,117.61/655,193.96
  6. Step 6: Final answer
    x = 272,875.85

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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.